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Finding the Fourth Proportional to 1,263.38, 1,894.71 and 800.46

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Solution

The fourth proportional to 1,263.38, 1,894.71 and 800.46 is: 1,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.38 : 1,894.71 = 800.46 : x
  2. Step 2: Convert to fraction form
    1,263.38/1,894.71 = 800.46/x
  3. Step 3: Cross multiply
    1,263.38x = 1,894.71 × 800.46
  4. Step 4: Simplify right side
    1,263.38x = 1,516,639.57
  5. Step 5: Solve for x
    x = 1,516,639.57/1,263.38
  6. Step 6: Final answer
    x = 1,200.46

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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.