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Finding the Fourth Proportional to 1,140.19, 1,572.67 and 698.31

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Solution

The fourth proportional to 1,140.19, 1,572.67 and 698.31 is: 963.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.19 : 1,572.67 = 698.31 : x
  2. Step 2: Convert to fraction form
    1,140.19/1,572.67 = 698.31/x
  3. Step 3: Cross multiply
    1,140.19x = 1,572.67 × 698.31
  4. Step 4: Simplify right side
    1,140.19x = 1,098,211.19
  5. Step 5: Solve for x
    x = 1,098,211.19/1,140.19
  6. Step 6: Final answer
    x = 963.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.