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Finding the Fourth Proportional to 1,474.43, 2,210.61 and 652.25

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Solution

The fourth proportional to 1,474.43, 2,210.61 and 652.25 is: 977.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.43 : 2,210.61 = 652.25 : x
  2. Step 2: Convert to fraction form
    1,474.43/2,210.61 = 652.25/x
  3. Step 3: Cross multiply
    1,474.43x = 2,210.61 × 652.25
  4. Step 4: Simplify right side
    1,474.43x = 1,441,872.00
  5. Step 5: Solve for x
    x = 1,441,872.00/1,474.43
  6. Step 6: Final answer
    x = 977.92

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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.