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Finding the Fourth Proportional to 968.02, 1,335.86 and 525.91

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Solution

The fourth proportional to 968.02, 1,335.86 and 525.91 is: 725.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.02 : 1,335.86 = 525.91 : x
  2. Step 2: Convert to fraction form
    968.02/1,335.86 = 525.91/x
  3. Step 3: Cross multiply
    968.02x = 1,335.86 × 525.91
  4. Step 4: Simplify right side
    968.02x = 702,542.13
  5. Step 5: Solve for x
    x = 702,542.13/968.02
  6. Step 6: Final answer
    x = 725.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.