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Finding the Fourth Proportional to 968.86, 1,337.03 and 526.78

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Solution

The fourth proportional to 968.86, 1,337.03 and 526.78 is: 726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.86 : 1,337.03 = 526.78 : x
  2. Step 2: Convert to fraction form
    968.86/1,337.03 = 526.78/x
  3. Step 3: Cross multiply
    968.86x = 1,337.03 × 526.78
  4. Step 4: Simplify right side
    968.86x = 704,319.40
  5. Step 5: Solve for x
    x = 704,319.40/968.86
  6. Step 6: Final answer
    x = 726.96

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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.