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Finding the Fourth Proportional to 1,305.15, 1,957.42 and 611.15

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Solution

The fourth proportional to 1,305.15, 1,957.42 and 611.15 is: 916.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.15 : 1,957.42 = 611.15 : x
  2. Step 2: Convert to fraction form
    1,305.15/1,957.42 = 611.15/x
  3. Step 3: Cross multiply
    1,305.15x = 1,957.42 × 611.15
  4. Step 4: Simplify right side
    1,305.15x = 1,196,281.29
  5. Step 5: Solve for x
    x = 1,196,281.29/1,305.15
  6. Step 6: Final answer
    x = 916.59

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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.