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Finding the Fourth Proportional to 740.46, 1,020.96 and 504.15

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Solution

The fourth proportional to 740.46, 1,020.96 and 504.15 is: 695.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.46 : 1,020.96 = 504.15 : x
  2. Step 2: Convert to fraction form
    740.46/1,020.96 = 504.15/x
  3. Step 3: Cross multiply
    740.46x = 1,020.96 × 504.15
  4. Step 4: Simplify right side
    740.46x = 514,716.98
  5. Step 5: Solve for x
    x = 514,716.98/740.46
  6. Step 6: Final answer
    x = 695.13

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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.