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Finding the Fourth Proportional to 1,168.83, 1,753.56 and 972.78

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Solution

The fourth proportional to 1,168.83, 1,753.56 and 972.78 is: 1,459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.83 : 1,753.56 = 972.78 : x
  2. Step 2: Convert to fraction form
    1,168.83/1,753.56 = 972.78/x
  3. Step 3: Cross multiply
    1,168.83x = 1,753.56 × 972.78
  4. Step 4: Simplify right side
    1,168.83x = 1,705,828.10
  5. Step 5: Solve for x
    x = 1,705,828.10/1,168.83
  6. Step 6: Final answer
    x = 1,459.43

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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.