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Finding the Fourth Proportional to 1,167.28, 1,610.84 and 643.28

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Solution

The fourth proportional to 1,167.28, 1,610.84 and 643.28 is: 887.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.28 : 1,610.84 = 643.28 : x
  2. Step 2: Convert to fraction form
    1,167.28/1,610.84 = 643.28/x
  3. Step 3: Cross multiply
    1,167.28x = 1,610.84 × 643.28
  4. Step 4: Simplify right side
    1,167.28x = 1,036,221.16
  5. Step 5: Solve for x
    x = 1,036,221.16/1,167.28
  6. Step 6: Final answer
    x = 887.72

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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.