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Finding the Fourth Proportional to 696.11, 1,046.57 and 560.12

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Solution

The fourth proportional to 696.11, 1,046.57 and 560.12 is: 842.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.11 : 1,046.57 = 560.12 : x
  2. Step 2: Convert to fraction form
    696.11/1,046.57 = 560.12/x
  3. Step 3: Cross multiply
    696.11x = 1,046.57 × 560.12
  4. Step 4: Simplify right side
    696.11x = 586,196.75
  5. Step 5: Solve for x
    x = 586,196.75/696.11
  6. Step 6: Final answer
    x = 842.11

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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.