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Finding the Fourth Proportional to 1,478.59, 2,217.16 and 862.45

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Solution

The fourth proportional to 1,478.59, 2,217.16 and 862.45 is: 1,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.59 : 2,217.16 = 862.45 : x
  2. Step 2: Convert to fraction form
    1,478.59/2,217.16 = 862.45/x
  3. Step 3: Cross multiply
    1,478.59x = 2,217.16 × 862.45
  4. Step 4: Simplify right side
    1,478.59x = 1,912,189.64
  5. Step 5: Solve for x
    x = 1,912,189.64/1,478.59
  6. Step 6: Final answer
    x = 1,293.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.