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Finding the Fourth Proportional to 950.86, 1,312.17 and 557.80

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Solution

The fourth proportional to 950.86, 1,312.17 and 557.80 is: 769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.86 : 1,312.17 = 557.80 : x
  2. Step 2: Convert to fraction form
    950.86/1,312.17 = 557.80/x
  3. Step 3: Cross multiply
    950.86x = 1,312.17 × 557.80
  4. Step 4: Simplify right side
    950.86x = 731,931.71
  5. Step 5: Solve for x
    x = 731,931.71/950.86
  6. Step 6: Final answer
    x = 769.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.