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Finding the Fourth Proportional to 1,134.25, 1,565.27 and 662.47

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Solution

The fourth proportional to 1,134.25, 1,565.27 and 662.47 is: 914.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.25 : 1,565.27 = 662.47 : x
  2. Step 2: Convert to fraction form
    1,134.25/1,565.27 = 662.47/x
  3. Step 3: Cross multiply
    1,134.25x = 1,565.27 × 662.47
  4. Step 4: Simplify right side
    1,134.25x = 1,036,944.42
  5. Step 5: Solve for x
    x = 1,036,944.42/1,134.25
  6. Step 6: Final answer
    x = 914.21

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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.