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Finding the Fourth Proportional to 1,341.90, 2,012.85 and 475.74

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Solution

The fourth proportional to 1,341.90, 2,012.85 and 475.74 is: 713.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.90 : 2,012.85 = 475.74 : x
  2. Step 2: Convert to fraction form
    1,341.90/2,012.85 = 475.74/x
  3. Step 3: Cross multiply
    1,341.90x = 2,012.85 × 475.74
  4. Step 4: Simplify right side
    1,341.90x = 957,593.26
  5. Step 5: Solve for x
    x = 957,593.26/1,341.90
  6. Step 6: Final answer
    x = 713.61

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.