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Finding the Fourth Proportional to 950.78, 1,312.23 and 557.83

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Solution

The fourth proportional to 950.78, 1,312.23 and 557.83 is: 769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.78 : 1,312.23 = 557.83 : x
  2. Step 2: Convert to fraction form
    950.78/1,312.23 = 557.83/x
  3. Step 3: Cross multiply
    950.78x = 1,312.23 × 557.83
  4. Step 4: Simplify right side
    950.78x = 732,001.26
  5. Step 5: Solve for x
    x = 732,001.26/950.78
  6. Step 6: Final answer
    x = 769.90

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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.