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Finding the Fourth Proportional to 956.16, 1,431.47 and 708.30

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Solution

The fourth proportional to 956.16, 1,431.47 and 708.30 is: 1,060.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.16 : 1,431.47 = 708.30 : x
  2. Step 2: Convert to fraction form
    956.16/1,431.47 = 708.30/x
  3. Step 3: Cross multiply
    956.16x = 1,431.47 × 708.30
  4. Step 4: Simplify right side
    956.16x = 1,013,906.66
  5. Step 5: Solve for x
    x = 1,013,906.66/956.16
  6. Step 6: Final answer
    x = 1,060.39

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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.