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Finding the Fourth Proportional to 1,170.74, 1,615.58 and 704.90

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Solution

The fourth proportional to 1,170.74, 1,615.58 and 704.90 is: 972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.74 : 1,615.58 = 704.90 : x
  2. Step 2: Convert to fraction form
    1,170.74/1,615.58 = 704.90/x
  3. Step 3: Cross multiply
    1,170.74x = 1,615.58 × 704.90
  4. Step 4: Simplify right side
    1,170.74x = 1,138,822.34
  5. Step 5: Solve for x
    x = 1,138,822.34/1,170.74
  6. Step 6: Final answer
    x = 972.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.