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Finding the Fourth Proportional to 951.70, 1,423.89 and 709.30

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Solution

The fourth proportional to 951.70, 1,423.89 and 709.30 is: 1,061.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.70 : 1,423.89 = 709.30 : x
  2. Step 2: Convert to fraction form
    951.70/1,423.89 = 709.30/x
  3. Step 3: Cross multiply
    951.70x = 1,423.89 × 709.30
  4. Step 4: Simplify right side
    951.70x = 1,009,965.18
  5. Step 5: Solve for x
    x = 1,009,965.18/951.70
  6. Step 6: Final answer
    x = 1,061.22

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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.