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Finding the Fourth Proportional to 763.14, 1,053.42 and 597.41

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Solution

The fourth proportional to 763.14, 1,053.42 and 597.41 is: 824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.14 : 1,053.42 = 597.41 : x
  2. Step 2: Convert to fraction form
    763.14/1,053.42 = 597.41/x
  3. Step 3: Cross multiply
    763.14x = 1,053.42 × 597.41
  4. Step 4: Simplify right side
    763.14x = 629,318.38
  5. Step 5: Solve for x
    x = 629,318.38/763.14
  6. Step 6: Final answer
    x = 824.64

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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.