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Finding the Fourth Proportional to 951.09, 1,312.05 and 619.62

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Solution

The fourth proportional to 951.09, 1,312.05 and 619.62 is: 854.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.09 : 1,312.05 = 619.62 : x
  2. Step 2: Convert to fraction form
    951.09/1,312.05 = 619.62/x
  3. Step 3: Cross multiply
    951.09x = 1,312.05 × 619.62
  4. Step 4: Simplify right side
    951.09x = 812,972.42
  5. Step 5: Solve for x
    x = 812,972.42/951.09
  6. Step 6: Final answer
    x = 854.78

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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.