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Finding the Fourth Proportional to 1,557.25, 2,335.11 and 461.32

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Solution

The fourth proportional to 1,557.25, 2,335.11 and 461.32 is: 691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.25 : 2,335.11 = 461.32 : x
  2. Step 2: Convert to fraction form
    1,557.25/2,335.11 = 461.32/x
  3. Step 3: Cross multiply
    1,557.25x = 2,335.11 × 461.32
  4. Step 4: Simplify right side
    1,557.25x = 1,077,232.95
  5. Step 5: Solve for x
    x = 1,077,232.95/1,557.25
  6. Step 6: Final answer
    x = 691.75

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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.