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Finding the Fourth Proportional to 714.56, 1,065.42 and 653.54

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Solution

The fourth proportional to 714.56, 1,065.42 and 653.54 is: 974.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.56 : 1,065.42 = 653.54 : x
  2. Step 2: Convert to fraction form
    714.56/1,065.42 = 653.54/x
  3. Step 3: Cross multiply
    714.56x = 1,065.42 × 653.54
  4. Step 4: Simplify right side
    714.56x = 696,295.25
  5. Step 5: Solve for x
    x = 696,295.25/714.56
  6. Step 6: Final answer
    x = 974.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.