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Finding the Fourth Proportional to 1,532.62, 2,297.54 and 558.04

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Solution

The fourth proportional to 1,532.62, 2,297.54 and 558.04 is: 836.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.62 : 2,297.54 = 558.04 : x
  2. Step 2: Convert to fraction form
    1,532.62/2,297.54 = 558.04/x
  3. Step 3: Cross multiply
    1,532.62x = 2,297.54 × 558.04
  4. Step 4: Simplify right side
    1,532.62x = 1,282,119.22
  5. Step 5: Solve for x
    x = 1,282,119.22/1,532.62
  6. Step 6: Final answer
    x = 836.55

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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.