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Finding the Fourth Proportional to 1,484.81, 2,227.70 and 560.44

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Solution

The fourth proportional to 1,484.81, 2,227.70 and 560.44 is: 840.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.81 : 2,227.70 = 560.44 : x
  2. Step 2: Convert to fraction form
    1,484.81/2,227.70 = 560.44/x
  3. Step 3: Cross multiply
    1,484.81x = 2,227.70 × 560.44
  4. Step 4: Simplify right side
    1,484.81x = 1,248,502.64
  5. Step 5: Solve for x
    x = 1,248,502.64/1,484.81
  6. Step 6: Final answer
    x = 840.85

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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.