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Finding the Fourth Proportional to 1,108.74, 1,663.24 and 378.12

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Solution

The fourth proportional to 1,108.74, 1,663.24 and 378.12 is: 567.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.74 : 1,663.24 = 378.12 : x
  2. Step 2: Convert to fraction form
    1,108.74/1,663.24 = 378.12/x
  3. Step 3: Cross multiply
    1,108.74x = 1,663.24 × 378.12
  4. Step 4: Simplify right side
    1,108.74x = 628,904.31
  5. Step 5: Solve for x
    x = 628,904.31/1,108.74
  6. Step 6: Final answer
    x = 567.22

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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.