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Finding the Fourth Proportional to 1,477.85, 2,217.15 and 655.92

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Solution

The fourth proportional to 1,477.85, 2,217.15 and 655.92 is: 984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.85 : 2,217.15 = 655.92 : x
  2. Step 2: Convert to fraction form
    1,477.85/2,217.15 = 655.92/x
  3. Step 3: Cross multiply
    1,477.85x = 2,217.15 × 655.92
  4. Step 4: Simplify right side
    1,477.85x = 1,454,273.03
  5. Step 5: Solve for x
    x = 1,454,273.03/1,477.85
  6. Step 6: Final answer
    x = 984.05

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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.