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Finding the Fourth Proportional to 952.77, 1,316.53 and 743.47

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Solution

The fourth proportional to 952.77, 1,316.53 and 743.47 is: 1,027.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.77 : 1,316.53 = 743.47 : x
  2. Step 2: Convert to fraction form
    952.77/1,316.53 = 743.47/x
  3. Step 3: Cross multiply
    952.77x = 1,316.53 × 743.47
  4. Step 4: Simplify right side
    952.77x = 978,800.56
  5. Step 5: Solve for x
    x = 978,800.56/952.77
  6. Step 6: Final answer
    x = 1,027.33

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Half scale
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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.