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Finding the Fourth Proportional to 714.28, 1,069.80 and 591.72

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Solution

The fourth proportional to 714.28, 1,069.80 and 591.72 is: 886.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.28 : 1,069.80 = 591.72 : x
  2. Step 2: Convert to fraction form
    714.28/1,069.80 = 591.72/x
  3. Step 3: Cross multiply
    714.28x = 1,069.80 × 591.72
  4. Step 4: Simplify right side
    714.28x = 633,022.06
  5. Step 5: Solve for x
    x = 633,022.06/714.28
  6. Step 6: Final answer
    x = 886.24

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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.