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Finding the Fourth Proportional to 763.79, 1,147.71 and 714.58

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Solution

The fourth proportional to 763.79, 1,147.71 and 714.58 is: 1,073.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.79 : 1,147.71 = 714.58 : x
  2. Step 2: Convert to fraction form
    763.79/1,147.71 = 714.58/x
  3. Step 3: Cross multiply
    763.79x = 1,147.71 × 714.58
  4. Step 4: Simplify right side
    763.79x = 820,130.61
  5. Step 5: Solve for x
    x = 820,130.61/763.79
  6. Step 6: Final answer
    x = 1,073.76

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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.