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Finding the Fourth Proportional to 1,091.34, 1,627.80 and 915.96

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Solution

The fourth proportional to 1,091.34, 1,627.80 and 915.96 is: 1,366.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.34 : 1,627.80 = 915.96 : x
  2. Step 2: Convert to fraction form
    1,091.34/1,627.80 = 915.96/x
  3. Step 3: Cross multiply
    1,091.34x = 1,627.80 × 915.96
  4. Step 4: Simplify right side
    1,091.34x = 1,490,999.69
  5. Step 5: Solve for x
    x = 1,490,999.69/1,091.34
  6. Step 6: Final answer
    x = 1,366.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.