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Finding the Fourth Proportional to 714.34, 1,070.43 and 560.17

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Solution

The fourth proportional to 714.34, 1,070.43 and 560.17 is: 839.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.34 : 1,070.43 = 560.17 : x
  2. Step 2: Convert to fraction form
    714.34/1,070.43 = 560.17/x
  3. Step 3: Cross multiply
    714.34x = 1,070.43 × 560.17
  4. Step 4: Simplify right side
    714.34x = 599,622.77
  5. Step 5: Solve for x
    x = 599,622.77/714.34
  6. Step 6: Final answer
    x = 839.41

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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.