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Finding the Fourth Proportional to 1,013.06, 1,395.40 and 717.80

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Solution

The fourth proportional to 1,013.06, 1,395.40 and 717.80 is: 988.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.06 : 1,395.40 = 717.80 : x
  2. Step 2: Convert to fraction form
    1,013.06/1,395.40 = 717.80/x
  3. Step 3: Cross multiply
    1,013.06x = 1,395.40 × 717.80
  4. Step 4: Simplify right side
    1,013.06x = 1,001,618.12
  5. Step 5: Solve for x
    x = 1,001,618.12/1,013.06
  6. Step 6: Final answer
    x = 988.71

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Why These Related Problems?

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