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Finding the Fourth Proportional to 1,148.02, 1,721.05 and 455.18

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Solution

The fourth proportional to 1,148.02, 1,721.05 and 455.18 is: 682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.02 : 1,721.05 = 455.18 : x
  2. Step 2: Convert to fraction form
    1,148.02/1,721.05 = 455.18/x
  3. Step 3: Cross multiply
    1,148.02x = 1,721.05 × 455.18
  4. Step 4: Simplify right side
    1,148.02x = 783,380.36
  5. Step 5: Solve for x
    x = 783,380.36/1,148.02
  6. Step 6: Final answer
    x = 682.38

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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.