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Finding the Fourth Proportional to 968.93, 1,337.14 and 570.61

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Solution

The fourth proportional to 968.93, 1,337.14 and 570.61 is: 787.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.93 : 1,337.14 = 570.61 : x
  2. Step 2: Convert to fraction form
    968.93/1,337.14 = 570.61/x
  3. Step 3: Cross multiply
    968.93x = 1,337.14 × 570.61
  4. Step 4: Simplify right side
    968.93x = 762,987.84
  5. Step 5: Solve for x
    x = 762,987.84/968.93
  6. Step 6: Final answer
    x = 787.46

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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.