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Finding the Fourth Proportional to 865.48, 1,193.52 and 699.58

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Solution

The fourth proportional to 865.48, 1,193.52 and 699.58 is: 964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.48 : 1,193.52 = 699.58 : x
  2. Step 2: Convert to fraction form
    865.48/1,193.52 = 699.58/x
  3. Step 3: Cross multiply
    865.48x = 1,193.52 × 699.58
  4. Step 4: Simplify right side
    865.48x = 834,962.72
  5. Step 5: Solve for x
    x = 834,962.72/865.48
  6. Step 6: Final answer
    x = 964.74

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1.5x scale

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.