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Finding the Fourth Proportional to 1,021.74, 1,532.62 and 291.23

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Solution

The fourth proportional to 1,021.74, 1,532.62 and 291.23 is: 436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.74 : 1,532.62 = 291.23 : x
  2. Step 2: Convert to fraction form
    1,021.74/1,532.62 = 291.23/x
  3. Step 3: Cross multiply
    1,021.74x = 1,532.62 × 291.23
  4. Step 4: Simplify right side
    1,021.74x = 446,344.92
  5. Step 5: Solve for x
    x = 446,344.92/1,021.74
  6. Step 6: Final answer
    x = 436.85

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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.