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Finding the Fourth Proportional to 869.39, 1,199.77 and 476.42

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Solution

The fourth proportional to 869.39, 1,199.77 and 476.42 is: 657.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.39 : 1,199.77 = 476.42 : x
  2. Step 2: Convert to fraction form
    869.39/1,199.77 = 476.42/x
  3. Step 3: Cross multiply
    869.39x = 1,199.77 × 476.42
  4. Step 4: Simplify right side
    869.39x = 571,596.23
  5. Step 5: Solve for x
    x = 571,596.23/869.39
  6. Step 6: Final answer
    x = 657.47

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Double scale
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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.