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Finding the Fourth Proportional to 1,167.01, 1,610.49 and 643.06

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Solution

The fourth proportional to 1,167.01, 1,610.49 and 643.06 is: 887.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.01 : 1,610.49 = 643.06 : x
  2. Step 2: Convert to fraction form
    1,167.01/1,610.49 = 643.06/x
  3. Step 3: Cross multiply
    1,167.01x = 1,610.49 × 643.06
  4. Step 4: Simplify right side
    1,167.01x = 1,035,641.70
  5. Step 5: Solve for x
    x = 1,035,641.70/1,167.01
  6. Step 6: Final answer
    x = 887.43

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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.