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Finding the Fourth Proportional to 696.80, 960.76 and 448.13

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Solution

The fourth proportional to 696.80, 960.76 and 448.13 is: 617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.80 : 960.76 = 448.13 : x
  2. Step 2: Convert to fraction form
    696.80/960.76 = 448.13/x
  3. Step 3: Cross multiply
    696.80x = 960.76 × 448.13
  4. Step 4: Simplify right side
    696.80x = 430,548.34
  5. Step 5: Solve for x
    x = 430,548.34/696.80
  6. Step 6: Final answer
    x = 617.89

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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.