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Finding the Fourth Proportional to 1,013.12, 1,397.76 and 619.84

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Solution

The fourth proportional to 1,013.12, 1,397.76 and 619.84 is: 855.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.12 : 1,397.76 = 619.84 : x
  2. Step 2: Convert to fraction form
    1,013.12/1,397.76 = 619.84/x
  3. Step 3: Cross multiply
    1,013.12x = 1,397.76 × 619.84
  4. Step 4: Simplify right side
    1,013.12x = 866,387.56
  5. Step 5: Solve for x
    x = 866,387.56/1,013.12
  6. Step 6: Final answer
    x = 855.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.