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Finding the Fourth Proportional to 913.69, 1,260.84 and 520.75

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Solution

The fourth proportional to 913.69, 1,260.84 and 520.75 is: 718.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.69 : 1,260.84 = 520.75 : x
  2. Step 2: Convert to fraction form
    913.69/1,260.84 = 520.75/x
  3. Step 3: Cross multiply
    913.69x = 1,260.84 × 520.75
  4. Step 4: Simplify right side
    913.69x = 656,582.43
  5. Step 5: Solve for x
    x = 656,582.43/913.69
  6. Step 6: Final answer
    x = 718.61

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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.