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Finding the Fourth Proportional to 1,532.98, 2,297.38 and 801.04

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Solution

The fourth proportional to 1,532.98, 2,297.38 and 801.04 is: 1,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.98 : 2,297.38 = 801.04 : x
  2. Step 2: Convert to fraction form
    1,532.98/2,297.38 = 801.04/x
  3. Step 3: Cross multiply
    1,532.98x = 2,297.38 × 801.04
  4. Step 4: Simplify right side
    1,532.98x = 1,840,277.78
  5. Step 5: Solve for x
    x = 1,840,277.78/1,532.98
  6. Step 6: Final answer
    x = 1,200.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.