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Finding the Fourth Proportional to 714.56, 987.36 and 560.48

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Solution

The fourth proportional to 714.56, 987.36 and 560.48 is: 774.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.56 : 987.36 = 560.48 : x
  2. Step 2: Convert to fraction form
    714.56/987.36 = 560.48/x
  3. Step 3: Cross multiply
    714.56x = 987.36 × 560.48
  4. Step 4: Simplify right side
    714.56x = 553,395.53
  5. Step 5: Solve for x
    x = 553,395.53/714.56
  6. Step 6: Final answer
    x = 774.46

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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.