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Finding the Fourth Proportional to 1,648.02, 2,471.66 and 478.02

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Solution

The fourth proportional to 1,648.02, 2,471.66 and 478.02 is: 716.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.02 : 2,471.66 = 478.02 : x
  2. Step 2: Convert to fraction form
    1,648.02/2,471.66 = 478.02/x
  3. Step 3: Cross multiply
    1,648.02x = 2,471.66 × 478.02
  4. Step 4: Simplify right side
    1,648.02x = 1,181,502.91
  5. Step 5: Solve for x
    x = 1,181,502.91/1,648.02
  6. Step 6: Final answer
    x = 716.92

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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.