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Finding the Fourth Proportional to 1,648.82, 2,473.66 and 553.70

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Solution

The fourth proportional to 1,648.82, 2,473.66 and 553.70 is: 830.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.82 : 2,473.66 = 553.70 : x
  2. Step 2: Convert to fraction form
    1,648.82/2,473.66 = 553.70/x
  3. Step 3: Cross multiply
    1,648.82x = 2,473.66 × 553.70
  4. Step 4: Simplify right side
    1,648.82x = 1,369,665.54
  5. Step 5: Solve for x
    x = 1,369,665.54/1,648.82
  6. Step 6: Final answer
    x = 830.69

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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.