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Finding the Fourth Proportional to 610.92, 915.84 and 524.34

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Solution

The fourth proportional to 610.92, 915.84 and 524.34 is: 786.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.92 : 915.84 = 524.34 : x
  2. Step 2: Convert to fraction form
    610.92/915.84 = 524.34/x
  3. Step 3: Cross multiply
    610.92x = 915.84 × 524.34
  4. Step 4: Simplify right side
    610.92x = 480,211.55
  5. Step 5: Solve for x
    x = 480,211.55/610.92
  6. Step 6: Final answer
    x = 786.05

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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.