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Finding the Fourth Proportional to 1,091.76, 1,506.36 and 742.80

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Solution

The fourth proportional to 1,091.76, 1,506.36 and 742.80 is: 1,024.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.76 : 1,506.36 = 742.80 : x
  2. Step 2: Convert to fraction form
    1,091.76/1,506.36 = 742.80/x
  3. Step 3: Cross multiply
    1,091.76x = 1,506.36 × 742.80
  4. Step 4: Simplify right side
    1,091.76x = 1,118,924.21
  5. Step 5: Solve for x
    x = 1,118,924.21/1,091.76
  6. Step 6: Final answer
    x = 1,024.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.