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Finding the Fourth Proportional to 1,013.82, 1,398.56 and 699.40

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Solution

The fourth proportional to 1,013.82, 1,398.56 and 699.40 is: 964.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.82 : 1,398.56 = 699.40 : x
  2. Step 2: Convert to fraction form
    1,013.82/1,398.56 = 699.40/x
  3. Step 3: Cross multiply
    1,013.82x = 1,398.56 × 699.40
  4. Step 4: Simplify right side
    1,013.82x = 978,152.86
  5. Step 5: Solve for x
    x = 978,152.86/1,013.82
  6. Step 6: Final answer
    x = 964.82

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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.