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Finding the Fourth Proportional to 708.06, 978.14 and 702.56

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Solution

The fourth proportional to 708.06, 978.14 and 702.56 is: 970.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.06 : 978.14 = 702.56 : x
  2. Step 2: Convert to fraction form
    708.06/978.14 = 702.56/x
  3. Step 3: Cross multiply
    708.06x = 978.14 × 702.56
  4. Step 4: Simplify right side
    708.06x = 687,202.04
  5. Step 5: Solve for x
    x = 687,202.04/708.06
  6. Step 6: Final answer
    x = 970.54

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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.