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Finding the Fourth Proportional to 968.16, 1,336.32 and 595.08

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Solution

The fourth proportional to 968.16, 1,336.32 and 595.08 is: 821.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.16 : 1,336.32 = 595.08 : x
  2. Step 2: Convert to fraction form
    968.16/1,336.32 = 595.08/x
  3. Step 3: Cross multiply
    968.16x = 1,336.32 × 595.08
  4. Step 4: Simplify right side
    968.16x = 795,217.31
  5. Step 5: Solve for x
    x = 795,217.31/968.16
  6. Step 6: Final answer
    x = 821.37

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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.