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Finding the Fourth Proportional to 1,017.57, 1,523.62 and 837.15

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Solution

The fourth proportional to 1,017.57, 1,523.62 and 837.15 is: 1,253.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.57 : 1,523.62 = 837.15 : x
  2. Step 2: Convert to fraction form
    1,017.57/1,523.62 = 837.15/x
  3. Step 3: Cross multiply
    1,017.57x = 1,523.62 × 837.15
  4. Step 4: Simplify right side
    1,017.57x = 1,275,498.48
  5. Step 5: Solve for x
    x = 1,275,498.48/1,017.57
  6. Step 6: Final answer
    x = 1,253.47

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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.