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Finding the Fourth Proportional to 1,274.47, 1,915.32 and 754.57

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Solution

The fourth proportional to 1,274.47, 1,915.32 and 754.57 is: 1,134.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.47 : 1,915.32 = 754.57 : x
  2. Step 2: Convert to fraction form
    1,274.47/1,915.32 = 754.57/x
  3. Step 3: Cross multiply
    1,274.47x = 1,915.32 × 754.57
  4. Step 4: Simplify right side
    1,274.47x = 1,445,245.41
  5. Step 5: Solve for x
    x = 1,445,245.41/1,274.47
  6. Step 6: Final answer
    x = 1,134.00

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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.