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Finding the Fourth Proportional to 1,148.79, 1,723.20 and 327

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Solution

The fourth proportional to 1,148.79, 1,723.20 and 327 is: 490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.79 : 1,723.20 = 327 : x
  2. Step 2: Convert to fraction form
    1,148.79/1,723.20 = 327/x
  3. Step 3: Cross multiply
    1,148.79x = 1,723.20 × 327
  4. Step 4: Simplify right side
    1,148.79x = 563,486.40
  5. Step 5: Solve for x
    x = 563,486.40/1,148.79
  6. Step 6: Final answer
    x = 490.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.