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Finding the Fourth Proportional to 1,148.17, 1,721.28 and 455.33

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Solution

The fourth proportional to 1,148.17, 1,721.28 and 455.33 is: 682.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.17 : 1,721.28 = 455.33 : x
  2. Step 2: Convert to fraction form
    1,148.17/1,721.28 = 455.33/x
  3. Step 3: Cross multiply
    1,148.17x = 1,721.28 × 455.33
  4. Step 4: Simplify right side
    1,148.17x = 783,750.42
  5. Step 5: Solve for x
    x = 783,750.42/1,148.17
  6. Step 6: Final answer
    x = 682.61

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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.