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Finding the Fourth Proportional to 1,149.48, 1,716.03 and 1,108.98

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Solution

The fourth proportional to 1,149.48, 1,716.03 and 1,108.98 is: 1,655.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.48 : 1,716.03 = 1,108.98 : x
  2. Step 2: Convert to fraction form
    1,149.48/1,716.03 = 1,108.98/x
  3. Step 3: Cross multiply
    1,149.48x = 1,716.03 × 1,108.98
  4. Step 4: Simplify right side
    1,149.48x = 1,903,042.95
  5. Step 5: Solve for x
    x = 1,903,042.95/1,149.48
  6. Step 6: Final answer
    x = 1,655.57

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.