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Finding the Fourth Proportional to 1,151.16, 1,727.16 and 566.10

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Solution

The fourth proportional to 1,151.16, 1,727.16 and 566.10 is: 849.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.16 : 1,727.16 = 566.10 : x
  2. Step 2: Convert to fraction form
    1,151.16/1,727.16 = 566.10/x
  3. Step 3: Cross multiply
    1,151.16x = 1,727.16 × 566.10
  4. Step 4: Simplify right side
    1,151.16x = 977,745.28
  5. Step 5: Solve for x
    x = 977,745.28/1,151.16
  6. Step 6: Final answer
    x = 849.36

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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.