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Finding the Fourth Proportional to 696.47, 961.42 and 448.11

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Solution

The fourth proportional to 696.47, 961.42 and 448.11 is: 618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.47 : 961.42 = 448.11 : x
  2. Step 2: Convert to fraction form
    696.47/961.42 = 448.11/x
  3. Step 3: Cross multiply
    696.47x = 961.42 × 448.11
  4. Step 4: Simplify right side
    696.47x = 430,818.93
  5. Step 5: Solve for x
    x = 430,818.93/696.47
  6. Step 6: Final answer
    x = 618.57

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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.