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Finding the Fourth Proportional to 915.66, 1,374 and 846

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Solution

The fourth proportional to 915.66, 1,374 and 846 is: 1,269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.66 : 1,374 = 846 : x
  2. Step 2: Convert to fraction form
    915.66/1,374 = 846/x
  3. Step 3: Cross multiply
    915.66x = 1,374 × 846
  4. Step 4: Simplify right side
    915.66x = 1,162,404
  5. Step 5: Solve for x
    x = 1,162,404/915.66
  6. Step 6: Final answer
    x = 1,269.47

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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.