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Finding the Fourth Proportional to 1,456.15, 2,185.08 and 634.55

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Solution

The fourth proportional to 1,456.15, 2,185.08 and 634.55 is: 952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.15 : 2,185.08 = 634.55 : x
  2. Step 2: Convert to fraction form
    1,456.15/2,185.08 = 634.55/x
  3. Step 3: Cross multiply
    1,456.15x = 2,185.08 × 634.55
  4. Step 4: Simplify right side
    1,456.15x = 1,386,542.51
  5. Step 5: Solve for x
    x = 1,386,542.51/1,456.15
  6. Step 6: Final answer
    x = 952.20

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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.