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Finding the Fourth Proportional to 1,648.83, 2,472.87 and 478.85

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Solution

The fourth proportional to 1,648.83, 2,472.87 and 478.85 is: 718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.83 : 2,472.87 = 478.85 : x
  2. Step 2: Convert to fraction form
    1,648.83/2,472.87 = 478.85/x
  3. Step 3: Cross multiply
    1,648.83x = 2,472.87 × 478.85
  4. Step 4: Simplify right side
    1,648.83x = 1,184,123.23
  5. Step 5: Solve for x
    x = 1,184,123.23/1,648.83
  6. Step 6: Final answer
    x = 718.16

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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.