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Finding the Fourth Proportional to 915.61, 1,374.42 and 682.19

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Solution

The fourth proportional to 915.61, 1,374.42 and 682.19 is: 1,024.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.61 : 1,374.42 = 682.19 : x
  2. Step 2: Convert to fraction form
    915.61/1,374.42 = 682.19/x
  3. Step 3: Cross multiply
    915.61x = 1,374.42 × 682.19
  4. Step 4: Simplify right side
    915.61x = 937,615.58
  5. Step 5: Solve for x
    x = 937,615.58/915.61
  6. Step 6: Final answer
    x = 1,024.03

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Why These Related Problems?

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