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Finding the Fourth Proportional to 690.52, 1,034.46 and 611.20

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Solution

The fourth proportional to 690.52, 1,034.46 and 611.20 is: 915.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.52 : 1,034.46 = 611.20 : x
  2. Step 2: Convert to fraction form
    690.52/1,034.46 = 611.20/x
  3. Step 3: Cross multiply
    690.52x = 1,034.46 × 611.20
  4. Step 4: Simplify right side
    690.52x = 632,261.95
  5. Step 5: Solve for x
    x = 632,261.95/690.52
  6. Step 6: Final answer
    x = 915.63

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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.