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Finding the Fourth Proportional to 1,140.73, 1,573.27 and 698.32

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Solution

The fourth proportional to 1,140.73, 1,573.27 and 698.32 is: 963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.73 : 1,573.27 = 698.32 : x
  2. Step 2: Convert to fraction form
    1,140.73/1,573.27 = 698.32/x
  3. Step 3: Cross multiply
    1,140.73x = 1,573.27 × 698.32
  4. Step 4: Simplify right side
    1,140.73x = 1,098,650.06
  5. Step 5: Solve for x
    x = 1,098,650.06/1,140.73
  6. Step 6: Final answer
    x = 963.11

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Why These Related Problems?

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