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Finding the Fourth Proportional to 968.89, 1,337.06 and 526.80

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Solution

The fourth proportional to 968.89, 1,337.06 and 526.80 is: 726.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.89 : 1,337.06 = 526.80 : x
  2. Step 2: Convert to fraction form
    968.89/1,337.06 = 526.80/x
  3. Step 3: Cross multiply
    968.89x = 1,337.06 × 526.80
  4. Step 4: Simplify right side
    968.89x = 704,363.21
  5. Step 5: Solve for x
    x = 704,363.21/968.89
  6. Step 6: Final answer
    x = 726.98

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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.