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Finding the Fourth Proportional to 763.71, 1,053.93 and 432.15

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Solution

The fourth proportional to 763.71, 1,053.93 and 432.15 is: 596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.71 : 1,053.93 = 432.15 : x
  2. Step 2: Convert to fraction form
    763.71/1,053.93 = 432.15/x
  3. Step 3: Cross multiply
    763.71x = 1,053.93 × 432.15
  4. Step 4: Simplify right side
    763.71x = 455,455.85
  5. Step 5: Solve for x
    x = 455,455.85/763.71
  6. Step 6: Final answer
    x = 596.37

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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.