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Finding the Fourth Proportional to 1,022.04, 1,532.84 and 291.72

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Solution

The fourth proportional to 1,022.04, 1,532.84 and 291.72 is: 437.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.04 : 1,532.84 = 291.72 : x
  2. Step 2: Convert to fraction form
    1,022.04/1,532.84 = 291.72/x
  3. Step 3: Cross multiply
    1,022.04x = 1,532.84 × 291.72
  4. Step 4: Simplify right side
    1,022.04x = 447,160.08
  5. Step 5: Solve for x
    x = 447,160.08/1,022.04
  6. Step 6: Final answer
    x = 437.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.