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Finding the Fourth Proportional to 739.97, 1,017.90 and 710.00

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Solution

The fourth proportional to 739.97, 1,017.90 and 710.00 is: 976.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.97 : 1,017.90 = 710.00 : x
  2. Step 2: Convert to fraction form
    739.97/1,017.90 = 710.00/x
  3. Step 3: Cross multiply
    739.97x = 1,017.90 × 710.00
  4. Step 4: Simplify right side
    739.97x = 722,707.73
  5. Step 5: Solve for x
    x = 722,707.73/739.97
  6. Step 6: Final answer
    x = 976.67

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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.