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Finding the Fourth Proportional to 1,444.47, 2,166.27 and 470.04

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Solution

The fourth proportional to 1,444.47, 2,166.27 and 470.04 is: 704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.47 : 2,166.27 = 470.04 : x
  2. Step 2: Convert to fraction form
    1,444.47/2,166.27 = 470.04/x
  3. Step 3: Cross multiply
    1,444.47x = 2,166.27 × 470.04
  4. Step 4: Simplify right side
    1,444.47x = 1,018,233.55
  5. Step 5: Solve for x
    x = 1,018,233.55/1,444.47
  6. Step 6: Final answer
    x = 704.92

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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.