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Finding the Fourth Proportional to 968.23, 1,336.16 and 526.13

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Solution

The fourth proportional to 968.23, 1,336.16 and 526.13 is: 726.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.23 : 1,336.16 = 526.13 : x
  2. Step 2: Convert to fraction form
    968.23/1,336.16 = 526.13/x
  3. Step 3: Cross multiply
    968.23x = 1,336.16 × 526.13
  4. Step 4: Simplify right side
    968.23x = 702,995.18
  5. Step 5: Solve for x
    x = 702,995.18/968.23
  6. Step 6: Final answer
    x = 726.06

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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.