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Finding the Fourth Proportional to 723.75, 999.59 and 490.47

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Solution

The fourth proportional to 723.75, 999.59 and 490.47 is: 677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.75 : 999.59 = 490.47 : x
  2. Step 2: Convert to fraction form
    723.75/999.59 = 490.47/x
  3. Step 3: Cross multiply
    723.75x = 999.59 × 490.47
  4. Step 4: Simplify right side
    723.75x = 490,266.45
  5. Step 5: Solve for x
    x = 490,266.45/723.75
  6. Step 6: Final answer
    x = 677.40

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.