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Finding the Fourth Proportional to 1,125.04, 1,678 and 1,105.60

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Solution

The fourth proportional to 1,125.04, 1,678 and 1,105.60 is: 1,649.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.04 : 1,678 = 1,105.60 : x
  2. Step 2: Convert to fraction form
    1,125.04/1,678 = 1,105.60/x
  3. Step 3: Cross multiply
    1,125.04x = 1,678 × 1,105.60
  4. Step 4: Simplify right side
    1,125.04x = 1,855,196.80
  5. Step 5: Solve for x
    x = 1,855,196.80/1,125.04
  6. Step 6: Final answer
    x = 1,649.01

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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.