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Finding the Fourth Proportional to 1,478.30, 2,216.42 and 656.14

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Solution

The fourth proportional to 1,478.30, 2,216.42 and 656.14 is: 983.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.30 : 2,216.42 = 656.14 : x
  2. Step 2: Convert to fraction form
    1,478.30/2,216.42 = 656.14/x
  3. Step 3: Cross multiply
    1,478.30x = 2,216.42 × 656.14
  4. Step 4: Simplify right side
    1,478.30x = 1,454,281.82
  5. Step 5: Solve for x
    x = 1,454,281.82/1,478.30
  6. Step 6: Final answer
    x = 983.75

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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.