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Finding the Fourth Proportional to 1,142.82, 1,712.07 and 566.10

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Solution

The fourth proportional to 1,142.82, 1,712.07 and 566.10 is: 848.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.82 : 1,712.07 = 566.10 : x
  2. Step 2: Convert to fraction form
    1,142.82/1,712.07 = 566.10/x
  3. Step 3: Cross multiply
    1,142.82x = 1,712.07 × 566.10
  4. Step 4: Simplify right side
    1,142.82x = 969,202.83
  5. Step 5: Solve for x
    x = 969,202.83/1,142.82
  6. Step 6: Final answer
    x = 848.08

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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.