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Finding the Fourth Proportional to 1,140.31, 1,702.31 and 1,017.28

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Solution

The fourth proportional to 1,140.31, 1,702.31 and 1,017.28 is: 1,518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.31 : 1,702.31 = 1,017.28 : x
  2. Step 2: Convert to fraction form
    1,140.31/1,702.31 = 1,017.28/x
  3. Step 3: Cross multiply
    1,140.31x = 1,702.31 × 1,017.28
  4. Step 4: Simplify right side
    1,140.31x = 1,731,725.92
  5. Step 5: Solve for x
    x = 1,731,725.92/1,140.31
  6. Step 6: Final answer
    x = 1,518.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.