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Finding the Fourth Proportional to 997.98, 1,377.24 and 703.35

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Solution

The fourth proportional to 997.98, 1,377.24 and 703.35 is: 970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.98 : 1,377.24 = 703.35 : x
  2. Step 2: Convert to fraction form
    997.98/1,377.24 = 703.35/x
  3. Step 3: Cross multiply
    997.98x = 1,377.24 × 703.35
  4. Step 4: Simplify right side
    997.98x = 968,681.75
  5. Step 5: Solve for x
    x = 968,681.75/997.98
  6. Step 6: Final answer
    x = 970.64

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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.