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Finding the Fourth Proportional to 915.64, 1,376.65 and 734.30

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Solution

The fourth proportional to 915.64, 1,376.65 and 734.30 is: 1,104.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.64 : 1,376.65 = 734.30 : x
  2. Step 2: Convert to fraction form
    915.64/1,376.65 = 734.30/x
  3. Step 3: Cross multiply
    915.64x = 1,376.65 × 734.30
  4. Step 4: Simplify right side
    915.64x = 1,010,873.29
  5. Step 5: Solve for x
    x = 1,010,873.29/915.64
  6. Step 6: Final answer
    x = 1,104.01

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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.