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Finding the Fourth Proportional to 968.46, 1,336.14 and 595.16

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Solution

The fourth proportional to 968.46, 1,336.14 and 595.16 is: 821.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.46 : 1,336.14 = 595.16 : x
  2. Step 2: Convert to fraction form
    968.46/1,336.14 = 595.16/x
  3. Step 3: Cross multiply
    968.46x = 1,336.14 × 595.16
  4. Step 4: Simplify right side
    968.46x = 795,217.08
  5. Step 5: Solve for x
    x = 795,217.08/968.46
  6. Step 6: Final answer
    x = 821.12

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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.