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Finding the Fourth Proportional to 1,167.52, 1,610.88 and 701.60

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Solution

The fourth proportional to 1,167.52, 1,610.88 and 701.60 is: 968.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.52 : 1,610.88 = 701.60 : x
  2. Step 2: Convert to fraction form
    1,167.52/1,610.88 = 701.60/x
  3. Step 3: Cross multiply
    1,167.52x = 1,610.88 × 701.60
  4. Step 4: Simplify right side
    1,167.52x = 1,130,193.41
  5. Step 5: Solve for x
    x = 1,130,193.41/1,167.52
  6. Step 6: Final answer
    x = 968.03

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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.