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Finding the Fourth Proportional to 1,432.26, 2,146.95 and 566.10

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Solution

The fourth proportional to 1,432.26, 2,146.95 and 566.10 is: 848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.26 : 2,146.95 = 566.10 : x
  2. Step 2: Convert to fraction form
    1,432.26/2,146.95 = 566.10/x
  3. Step 3: Cross multiply
    1,432.26x = 2,146.95 × 566.10
  4. Step 4: Simplify right side
    1,432.26x = 1,215,388.40
  5. Step 5: Solve for x
    x = 1,215,388.40/1,432.26
  6. Step 6: Final answer
    x = 848.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.