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Finding the Fourth Proportional to 699.25, 964.33 and 541.38

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Solution

The fourth proportional to 699.25, 964.33 and 541.38 is: 746.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.25 : 964.33 = 541.38 : x
  2. Step 2: Convert to fraction form
    699.25/964.33 = 541.38/x
  3. Step 3: Cross multiply
    699.25x = 964.33 × 541.38
  4. Step 4: Simplify right side
    699.25x = 522,065.81
  5. Step 5: Solve for x
    x = 522,065.81/699.25
  6. Step 6: Final answer
    x = 746.61

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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.