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Finding the Fourth Proportional to 1,341.19, 1,850.71 and 781.48

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Solution

The fourth proportional to 1,341.19, 1,850.71 and 781.48 is: 1,078.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.19 : 1,850.71 = 781.48 : x
  2. Step 2: Convert to fraction form
    1,341.19/1,850.71 = 781.48/x
  3. Step 3: Cross multiply
    1,341.19x = 1,850.71 × 781.48
  4. Step 4: Simplify right side
    1,341.19x = 1,446,292.85
  5. Step 5: Solve for x
    x = 1,446,292.85/1,341.19
  6. Step 6: Final answer
    x = 1,078.37

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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.