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Finding the Fourth Proportional to 1,466.90, 2,200.25 and 542.29

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Solution

The fourth proportional to 1,466.90, 2,200.25 and 542.29 is: 813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.90 : 2,200.25 = 542.29 : x
  2. Step 2: Convert to fraction form
    1,466.90/2,200.25 = 542.29/x
  3. Step 3: Cross multiply
    1,466.90x = 2,200.25 × 542.29
  4. Step 4: Simplify right side
    1,466.90x = 1,193,159.86
  5. Step 5: Solve for x
    x = 1,193,159.86/1,466.90
  6. Step 6: Final answer
    x = 813.39

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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.