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Finding the Fourth Proportional to 1,472.51, 2,032.04 and 883.02

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Solution

The fourth proportional to 1,472.51, 2,032.04 and 883.02 is: 1,218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.51 : 2,032.04 = 883.02 : x
  2. Step 2: Convert to fraction form
    1,472.51/2,032.04 = 883.02/x
  3. Step 3: Cross multiply
    1,472.51x = 2,032.04 × 883.02
  4. Step 4: Simplify right side
    1,472.51x = 1,794,327.55
  5. Step 5: Solve for x
    x = 1,794,327.55/1,472.51
  6. Step 6: Final answer
    x = 1,218.55

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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.