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Finding the Fourth Proportional to 1,069.60, 1,476.21 and 774.76

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Solution

The fourth proportional to 1,069.60, 1,476.21 and 774.76 is: 1,069.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.60 : 1,476.21 = 774.76 : x
  2. Step 2: Convert to fraction form
    1,069.60/1,476.21 = 774.76/x
  3. Step 3: Cross multiply
    1,069.60x = 1,476.21 × 774.76
  4. Step 4: Simplify right side
    1,069.60x = 1,143,708.46
  5. Step 5: Solve for x
    x = 1,143,708.46/1,069.60
  6. Step 6: Final answer
    x = 1,069.29

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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.