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Finding the Fourth Proportional to 1,013.83, 1,519.49 and 807.55

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Solution

The fourth proportional to 1,013.83, 1,519.49 and 807.55 is: 1,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.83 : 1,519.49 = 807.55 : x
  2. Step 2: Convert to fraction form
    1,013.83/1,519.49 = 807.55/x
  3. Step 3: Cross multiply
    1,013.83x = 1,519.49 × 807.55
  4. Step 4: Simplify right side
    1,013.83x = 1,227,052.51
  5. Step 5: Solve for x
    x = 1,227,052.51/1,013.83
  6. Step 6: Final answer
    x = 1,210.32

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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.