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Finding the Fourth Proportional to 1,148.45, 1,721.98 and 454.31

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Solution

The fourth proportional to 1,148.45, 1,721.98 and 454.31 is: 681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.45 : 1,721.98 = 454.31 : x
  2. Step 2: Convert to fraction form
    1,148.45/1,721.98 = 454.31/x
  3. Step 3: Cross multiply
    1,148.45x = 1,721.98 × 454.31
  4. Step 4: Simplify right side
    1,148.45x = 782,312.73
  5. Step 5: Solve for x
    x = 782,312.73/1,148.45
  6. Step 6: Final answer
    x = 681.19

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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.