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Finding the Fourth Proportional to 1,264.03, 1,894.84 and 800.49

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Solution

The fourth proportional to 1,264.03, 1,894.84 and 800.49 is: 1,199.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.03 : 1,894.84 = 800.49 : x
  2. Step 2: Convert to fraction form
    1,264.03/1,894.84 = 800.49/x
  3. Step 3: Cross multiply
    1,264.03x = 1,894.84 × 800.49
  4. Step 4: Simplify right side
    1,264.03x = 1,516,800.47
  5. Step 5: Solve for x
    x = 1,516,800.47/1,264.03
  6. Step 6: Final answer
    x = 1,199.97

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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.