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Finding the Fourth Proportional to 866.10, 1,298.11 and 500.13

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Solution

The fourth proportional to 866.10, 1,298.11 and 500.13 is: 749.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.10 : 1,298.11 = 500.13 : x
  2. Step 2: Convert to fraction form
    866.10/1,298.11 = 500.13/x
  3. Step 3: Cross multiply
    866.10x = 1,298.11 × 500.13
  4. Step 4: Simplify right side
    866.10x = 649,223.75
  5. Step 5: Solve for x
    x = 649,223.75/866.10
  6. Step 6: Final answer
    x = 749.59

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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.