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Finding the Fourth Proportional to 1,439.99, 2,159.54 and 465.89

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Solution

The fourth proportional to 1,439.99, 2,159.54 and 465.89 is: 698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.99 : 2,159.54 = 465.89 : x
  2. Step 2: Convert to fraction form
    1,439.99/2,159.54 = 465.89/x
  3. Step 3: Cross multiply
    1,439.99x = 2,159.54 × 465.89
  4. Step 4: Simplify right side
    1,439.99x = 1,006,105.76
  5. Step 5: Solve for x
    x = 1,006,105.76/1,439.99
  6. Step 6: Final answer
    x = 698.69

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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.