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Finding the Fourth Proportional to 705.92, 1,053 and 591.10

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Solution

The fourth proportional to 705.92, 1,053 and 591.10 is: 881.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.92 : 1,053 = 591.10 : x
  2. Step 2: Convert to fraction form
    705.92/1,053 = 591.10/x
  3. Step 3: Cross multiply
    705.92x = 1,053 × 591.10
  4. Step 4: Simplify right side
    705.92x = 622,425.67
  5. Step 5: Solve for x
    x = 622,425.67/705.92
  6. Step 6: Final answer
    x = 881.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.