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Finding the Fourth Proportional to 1,021.64, 1,532.18 and 291.20

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Solution

The fourth proportional to 1,021.64, 1,532.18 and 291.20 is: 436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.64 : 1,532.18 = 291.20 : x
  2. Step 2: Convert to fraction form
    1,021.64/1,532.18 = 291.20/x
  3. Step 3: Cross multiply
    1,021.64x = 1,532.18 × 291.20
  4. Step 4: Simplify right side
    1,021.64x = 446,170.82
  5. Step 5: Solve for x
    x = 446,170.82/1,021.64
  6. Step 6: Final answer
    x = 436.72

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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.