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Finding the Fourth Proportional to 1,648.84, 2,472.99 and 553.21

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Solution

The fourth proportional to 1,648.84, 2,472.99 and 553.21 is: 829.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.84 : 2,472.99 = 553.21 : x
  2. Step 2: Convert to fraction form
    1,648.84/2,472.99 = 553.21/x
  3. Step 3: Cross multiply
    1,648.84x = 2,472.99 × 553.21
  4. Step 4: Simplify right side
    1,648.84x = 1,368,082.80
  5. Step 5: Solve for x
    x = 1,368,082.80/1,648.84
  6. Step 6: Final answer
    x = 829.72

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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.