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Finding the Fourth Proportional to 874.44, 1,312.08 and 412.20

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Solution

The fourth proportional to 874.44, 1,312.08 and 412.20 is: 618.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.44 : 1,312.08 = 412.20 : x
  2. Step 2: Convert to fraction form
    874.44/1,312.08 = 412.20/x
  3. Step 3: Cross multiply
    874.44x = 1,312.08 × 412.20
  4. Step 4: Simplify right side
    874.44x = 540,832.82
  5. Step 5: Solve for x
    x = 540,832.82/874.44
  6. Step 6: Final answer
    x = 618.49

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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.