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Finding the Fourth Proportional to 1,154.07, 1,731.07 and 537.42

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Solution

The fourth proportional to 1,154.07, 1,731.07 and 537.42 is: 806.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.07 : 1,731.07 = 537.42 : x
  2. Step 2: Convert to fraction form
    1,154.07/1,731.07 = 537.42/x
  3. Step 3: Cross multiply
    1,154.07x = 1,731.07 × 537.42
  4. Step 4: Simplify right side
    1,154.07x = 930,311.64
  5. Step 5: Solve for x
    x = 930,311.64/1,154.07
  6. Step 6: Final answer
    x = 806.11

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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.