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Finding the Fourth Proportional to 1,439.15, 2,159.66 and 514.74

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Solution

The fourth proportional to 1,439.15, 2,159.66 and 514.74 is: 772.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.15 : 2,159.66 = 514.74 : x
  2. Step 2: Convert to fraction form
    1,439.15/2,159.66 = 514.74/x
  3. Step 3: Cross multiply
    1,439.15x = 2,159.66 × 514.74
  4. Step 4: Simplify right side
    1,439.15x = 1,111,669.74
  5. Step 5: Solve for x
    x = 1,111,669.74/1,439.15
  6. Step 6: Final answer
    x = 772.45

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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.