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Finding the Fourth Proportional to 1,060.11, 1,463.04 and 588.05

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Solution

The fourth proportional to 1,060.11, 1,463.04 and 588.05 is: 811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.11 : 1,463.04 = 588.05 : x
  2. Step 2: Convert to fraction form
    1,060.11/1,463.04 = 588.05/x
  3. Step 3: Cross multiply
    1,060.11x = 1,463.04 × 588.05
  4. Step 4: Simplify right side
    1,060.11x = 860,340.67
  5. Step 5: Solve for x
    x = 860,340.67/1,060.11
  6. Step 6: Final answer
    x = 811.56

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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.