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Finding the Fourth Proportional to 731.19, 1,095.66 and 511.35

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Solution

The fourth proportional to 731.19, 1,095.66 and 511.35 is: 766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.19 : 1,095.66 = 511.35 : x
  2. Step 2: Convert to fraction form
    731.19/1,095.66 = 511.35/x
  3. Step 3: Cross multiply
    731.19x = 1,095.66 × 511.35
  4. Step 4: Simplify right side
    731.19x = 560,265.74
  5. Step 5: Solve for x
    x = 560,265.74/731.19
  6. Step 6: Final answer
    x = 766.24

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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.