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Finding the Fourth Proportional to 1,472.98, 2,032.87 and 883.66

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Solution

The fourth proportional to 1,472.98, 2,032.87 and 883.66 is: 1,219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.98 : 2,032.87 = 883.66 : x
  2. Step 2: Convert to fraction form
    1,472.98/2,032.87 = 883.66/x
  3. Step 3: Cross multiply
    1,472.98x = 2,032.87 × 883.66
  4. Step 4: Simplify right side
    1,472.98x = 1,796,355.74
  5. Step 5: Solve for x
    x = 1,796,355.74/1,472.98
  6. Step 6: Final answer
    x = 1,219.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.