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Finding the Fourth Proportional to 1,438.92, 1,985.74 and 800.87

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Solution

The fourth proportional to 1,438.92, 1,985.74 and 800.87 is: 1,105.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.92 : 1,985.74 = 800.87 : x
  2. Step 2: Convert to fraction form
    1,438.92/1,985.74 = 800.87/x
  3. Step 3: Cross multiply
    1,438.92x = 1,985.74 × 800.87
  4. Step 4: Simplify right side
    1,438.92x = 1,590,310.67
  5. Step 5: Solve for x
    x = 1,590,310.67/1,438.92
  6. Step 6: Final answer
    x = 1,105.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.