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Finding the Fourth Proportional to 951.52, 1,424.37 and 707.44

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Solution

The fourth proportional to 951.52, 1,424.37 and 707.44 is: 1,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.52 : 1,424.37 = 707.44 : x
  2. Step 2: Convert to fraction form
    951.52/1,424.37 = 707.44/x
  3. Step 3: Cross multiply
    951.52x = 1,424.37 × 707.44
  4. Step 4: Simplify right side
    951.52x = 1,007,656.31
  5. Step 5: Solve for x
    x = 1,007,656.31/951.52
  6. Step 6: Final answer
    x = 1,059.00

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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.