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Finding the Fourth Proportional to 1,013.08, 1,519.66 and 282.72

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Solution

The fourth proportional to 1,013.08, 1,519.66 and 282.72 is: 424.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.08 : 1,519.66 = 282.72 : x
  2. Step 2: Convert to fraction form
    1,013.08/1,519.66 = 282.72/x
  3. Step 3: Cross multiply
    1,013.08x = 1,519.66 × 282.72
  4. Step 4: Simplify right side
    1,013.08x = 429,638.28
  5. Step 5: Solve for x
    x = 429,638.28/1,013.08
  6. Step 6: Final answer
    x = 424.09

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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.