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Finding the Fourth Proportional to 951.73, 1,312.33 and 619.63

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Solution

The fourth proportional to 951.73, 1,312.33 and 619.63 is: 854.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.73 : 1,312.33 = 619.63 : x
  2. Step 2: Convert to fraction form
    951.73/1,312.33 = 619.63/x
  3. Step 3: Cross multiply
    951.73x = 1,312.33 × 619.63
  4. Step 4: Simplify right side
    951.73x = 813,159.04
  5. Step 5: Solve for x
    x = 813,159.04/951.73
  6. Step 6: Final answer
    x = 854.40

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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.