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Finding the Fourth Proportional to 1,300.17, 1,794.23 and 710.71

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Solution

The fourth proportional to 1,300.17, 1,794.23 and 710.71 is: 980.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.17 : 1,794.23 = 710.71 : x
  2. Step 2: Convert to fraction form
    1,300.17/1,794.23 = 710.71/x
  3. Step 3: Cross multiply
    1,300.17x = 1,794.23 × 710.71
  4. Step 4: Simplify right side
    1,300.17x = 1,275,175.83
  5. Step 5: Solve for x
    x = 1,275,175.83/1,300.17
  6. Step 6: Final answer
    x = 980.78

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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.