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Finding the Fourth Proportional to 1,133.25, 1,700.15 and 915.85

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Solution

The fourth proportional to 1,133.25, 1,700.15 and 915.85 is: 1,373.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.25 : 1,700.15 = 915.85 : x
  2. Step 2: Convert to fraction form
    1,133.25/1,700.15 = 915.85/x
  3. Step 3: Cross multiply
    1,133.25x = 1,700.15 × 915.85
  4. Step 4: Simplify right side
    1,133.25x = 1,557,073.88
  5. Step 5: Solve for x
    x = 1,557,073.88/1,133.25
  6. Step 6: Final answer
    x = 1,373.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.