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Finding the Fourth Proportional to 753.57, 1,039.93 and 417.50

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Solution

The fourth proportional to 753.57, 1,039.93 and 417.50 is: 576.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.57 : 1,039.93 = 417.50 : x
  2. Step 2: Convert to fraction form
    753.57/1,039.93 = 417.50/x
  3. Step 3: Cross multiply
    753.57x = 1,039.93 × 417.50
  4. Step 4: Simplify right side
    753.57x = 434,167.10
  5. Step 5: Solve for x
    x = 434,167.10/753.57
  6. Step 6: Final answer
    x = 576.15

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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.