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Finding the Fourth Proportional to 1,473.64, 2,209.02 and 652.12

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Solution

The fourth proportional to 1,473.64, 2,209.02 and 652.12 is: 977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.64 : 2,209.02 = 652.12 : x
  2. Step 2: Convert to fraction form
    1,473.64/2,209.02 = 652.12/x
  3. Step 3: Cross multiply
    1,473.64x = 2,209.02 × 652.12
  4. Step 4: Simplify right side
    1,473.64x = 1,440,546.12
  5. Step 5: Solve for x
    x = 1,440,546.12/1,473.64
  6. Step 6: Final answer
    x = 977.54

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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.