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Finding the Fourth Proportional to 968.84, 1,337.02 and 575.86

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Solution

The fourth proportional to 968.84, 1,337.02 and 575.86 is: 794.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.84 : 1,337.02 = 575.86 : x
  2. Step 2: Convert to fraction form
    968.84/1,337.02 = 575.86/x
  3. Step 3: Cross multiply
    968.84x = 1,337.02 × 575.86
  4. Step 4: Simplify right side
    968.84x = 769,936.34
  5. Step 5: Solve for x
    x = 769,936.34/968.84
  6. Step 6: Final answer
    x = 794.70

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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.