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Finding the Fourth Proportional to 1,021.90, 1,532.72 and 560.20

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Solution

The fourth proportional to 1,021.90, 1,532.72 and 560.20 is: 840.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.90 : 1,532.72 = 560.20 : x
  2. Step 2: Convert to fraction form
    1,021.90/1,532.72 = 560.20/x
  3. Step 3: Cross multiply
    1,021.90x = 1,532.72 × 560.20
  4. Step 4: Simplify right side
    1,021.90x = 858,629.74
  5. Step 5: Solve for x
    x = 858,629.74/1,021.90
  6. Step 6: Final answer
    x = 840.23

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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.