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Finding the Fourth Proportional to 968.30, 1,336.26 and 526.20

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Solution

The fourth proportional to 968.30, 1,336.26 and 526.20 is: 726.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.30 : 1,336.26 = 526.20 : x
  2. Step 2: Convert to fraction form
    968.30/1,336.26 = 526.20/x
  3. Step 3: Cross multiply
    968.30x = 1,336.26 × 526.20
  4. Step 4: Simplify right side
    968.30x = 703,140.01
  5. Step 5: Solve for x
    x = 703,140.01/968.30
  6. Step 6: Final answer
    x = 726.16

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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.