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Finding the Fourth Proportional to 1,282.76, 1,770.42 and 759.08

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Solution

The fourth proportional to 1,282.76, 1,770.42 and 759.08 is: 1,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.76 : 1,770.42 = 759.08 : x
  2. Step 2: Convert to fraction form
    1,282.76/1,770.42 = 759.08/x
  3. Step 3: Cross multiply
    1,282.76x = 1,770.42 × 759.08
  4. Step 4: Simplify right side
    1,282.76x = 1,343,890.41
  5. Step 5: Solve for x
    x = 1,343,890.41/1,282.76
  6. Step 6: Final answer
    x = 1,047.66

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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.