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Finding the Fourth Proportional to 1,021.85, 1,532.54 and 291.41

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Solution

The fourth proportional to 1,021.85, 1,532.54 and 291.41 is: 437.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.85 : 1,532.54 = 291.41 : x
  2. Step 2: Convert to fraction form
    1,021.85/1,532.54 = 291.41/x
  3. Step 3: Cross multiply
    1,021.85x = 1,532.54 × 291.41
  4. Step 4: Simplify right side
    1,021.85x = 446,588.36
  5. Step 5: Solve for x
    x = 446,588.36/1,021.85
  6. Step 6: Final answer
    x = 437.04

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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.