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Finding the Fourth Proportional to 1,167.25, 1,610.81 and 701.59

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Solution

The fourth proportional to 1,167.25, 1,610.81 and 701.59 is: 968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.25 : 1,610.81 = 701.59 : x
  2. Step 2: Convert to fraction form
    1,167.25/1,610.81 = 701.59/x
  3. Step 3: Cross multiply
    1,167.25x = 1,610.81 × 701.59
  4. Step 4: Simplify right side
    1,167.25x = 1,130,128.19
  5. Step 5: Solve for x
    x = 1,130,128.19/1,167.25
  6. Step 6: Final answer
    x = 968.20

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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.