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Finding the Fourth Proportional to 1,100.70, 1,653.24 and 731.64

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Solution

The fourth proportional to 1,100.70, 1,653.24 and 731.64 is: 1,098.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.70 : 1,653.24 = 731.64 : x
  2. Step 2: Convert to fraction form
    1,100.70/1,653.24 = 731.64/x
  3. Step 3: Cross multiply
    1,100.70x = 1,653.24 × 731.64
  4. Step 4: Simplify right side
    1,100.70x = 1,209,576.51
  5. Step 5: Solve for x
    x = 1,209,576.51/1,100.70
  6. Step 6: Final answer
    x = 1,098.92

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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.