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Finding the Fourth Proportional to 1,648.80, 2,471.54 and 723.58

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Solution

The fourth proportional to 1,648.80, 2,471.54 and 723.58 is: 1,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.80 : 2,471.54 = 723.58 : x
  2. Step 2: Convert to fraction form
    1,648.80/2,471.54 = 723.58/x
  3. Step 3: Cross multiply
    1,648.80x = 2,471.54 × 723.58
  4. Step 4: Simplify right side
    1,648.80x = 1,788,356.91
  5. Step 5: Solve for x
    x = 1,788,356.91/1,648.80
  6. Step 6: Final answer
    x = 1,084.64

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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.