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Finding the Fourth Proportional to 968.85, 1,337.01 and 526.75

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Solution

The fourth proportional to 968.85, 1,337.01 and 526.75 is: 726.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.85 : 1,337.01 = 526.75 : x
  2. Step 2: Convert to fraction form
    968.85/1,337.01 = 526.75/x
  3. Step 3: Cross multiply
    968.85x = 1,337.01 × 526.75
  4. Step 4: Simplify right side
    968.85x = 704,270.02
  5. Step 5: Solve for x
    x = 704,270.02/968.85
  6. Step 6: Final answer
    x = 726.91

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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.