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Finding the Fourth Proportional to 1,125.50, 1,688.45 and 394.88

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Solution

The fourth proportional to 1,125.50, 1,688.45 and 394.88 is: 592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.50 : 1,688.45 = 394.88 : x
  2. Step 2: Convert to fraction form
    1,125.50/1,688.45 = 394.88/x
  3. Step 3: Cross multiply
    1,125.50x = 1,688.45 × 394.88
  4. Step 4: Simplify right side
    1,125.50x = 666,724.72
  5. Step 5: Solve for x
    x = 666,724.72/1,125.50
  6. Step 6: Final answer
    x = 592.38

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Double scale
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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.