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Finding the Fourth Proportional to 1,021.74, 1,532.61 and 656.03

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Solution

The fourth proportional to 1,021.74, 1,532.61 and 656.03 is: 984.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.74 : 1,532.61 = 656.03 : x
  2. Step 2: Convert to fraction form
    1,021.74/1,532.61 = 656.03/x
  3. Step 3: Cross multiply
    1,021.74x = 1,532.61 × 656.03
  4. Step 4: Simplify right side
    1,021.74x = 1,005,430.48
  5. Step 5: Solve for x
    x = 1,005,430.48/1,021.74
  6. Step 6: Final answer
    x = 984.04

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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.