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Finding the Fourth Proportional to 699.32, 964.10 and 677.79

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Solution

The fourth proportional to 699.32, 964.10 and 677.79 is: 934.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.32 : 964.10 = 677.79 : x
  2. Step 2: Convert to fraction form
    699.32/964.10 = 677.79/x
  3. Step 3: Cross multiply
    699.32x = 964.10 × 677.79
  4. Step 4: Simplify right side
    699.32x = 653,459.03
  5. Step 5: Solve for x
    x = 653,459.03/699.32
  6. Step 6: Final answer
    x = 934.42

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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.