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Finding the Fourth Proportional to 1,094.85, 1,640.80 and 400.87

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Solution

The fourth proportional to 1,094.85, 1,640.80 and 400.87 is: 600.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.85 : 1,640.80 = 400.87 : x
  2. Step 2: Convert to fraction form
    1,094.85/1,640.80 = 400.87/x
  3. Step 3: Cross multiply
    1,094.85x = 1,640.80 × 400.87
  4. Step 4: Simplify right side
    1,094.85x = 657,747.50
  5. Step 5: Solve for x
    x = 657,747.50/1,094.85
  6. Step 6: Final answer
    x = 600.76

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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.