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Finding the Fourth Proportional to 915.17, 1,271.41 and 906.64

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Solution

The fourth proportional to 915.17, 1,271.41 and 906.64 is: 1,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.17 : 1,271.41 = 906.64 : x
  2. Step 2: Convert to fraction form
    915.17/1,271.41 = 906.64/x
  3. Step 3: Cross multiply
    915.17x = 1,271.41 × 906.64
  4. Step 4: Simplify right side
    915.17x = 1,152,711.16
  5. Step 5: Solve for x
    x = 1,152,711.16/915.17
  6. Step 6: Final answer
    x = 1,259.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.