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Finding the Fourth Proportional to 1,439.72, 2,159.93 and 465.83

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Solution

The fourth proportional to 1,439.72, 2,159.93 and 465.83 is: 698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.72 : 2,159.93 = 465.83 : x
  2. Step 2: Convert to fraction form
    1,439.72/2,159.93 = 465.83/x
  3. Step 3: Cross multiply
    1,439.72x = 2,159.93 × 465.83
  4. Step 4: Simplify right side
    1,439.72x = 1,006,147.06
  5. Step 5: Solve for x
    x = 1,006,147.06/1,439.72
  6. Step 6: Final answer
    x = 698.85

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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.