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Finding the Fourth Proportional to 675.72, 1,013.02 and 291.24

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Solution

The fourth proportional to 675.72, 1,013.02 and 291.24 is: 436.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.72 : 1,013.02 = 291.24 : x
  2. Step 2: Convert to fraction form
    675.72/1,013.02 = 291.24/x
  3. Step 3: Cross multiply
    675.72x = 1,013.02 × 291.24
  4. Step 4: Simplify right side
    675.72x = 295,031.94
  5. Step 5: Solve for x
    x = 295,031.94/675.72
  6. Step 6: Final answer
    x = 436.62

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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.