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Finding the Fourth Proportional to 1,532.64, 2,297.52 and 801.36

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Solution

The fourth proportional to 1,532.64, 2,297.52 and 801.36 is: 1,201.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.64 : 2,297.52 = 801.36 : x
  2. Step 2: Convert to fraction form
    1,532.64/2,297.52 = 801.36/x
  3. Step 3: Cross multiply
    1,532.64x = 2,297.52 × 801.36
  4. Step 4: Simplify right side
    1,532.64x = 1,841,140.63
  5. Step 5: Solve for x
    x = 1,841,140.63/1,532.64
  6. Step 6: Final answer
    x = 1,201.29

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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.