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Finding the Fourth Proportional to 714.28, 1,069.50 and 592.12

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Solution

The fourth proportional to 714.28, 1,069.50 and 592.12 is: 886.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.28 : 1,069.50 = 592.12 : x
  2. Step 2: Convert to fraction form
    714.28/1,069.50 = 592.12/x
  3. Step 3: Cross multiply
    714.28x = 1,069.50 × 592.12
  4. Step 4: Simplify right side
    714.28x = 633,272.34
  5. Step 5: Solve for x
    x = 633,272.34/714.28
  6. Step 6: Final answer
    x = 886.59

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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.