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Finding the Fourth Proportional to 1,263.84, 1,894.46 and 483.63

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Solution

The fourth proportional to 1,263.84, 1,894.46 and 483.63 is: 724.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.84 : 1,894.46 = 483.63 : x
  2. Step 2: Convert to fraction form
    1,263.84/1,894.46 = 483.63/x
  3. Step 3: Cross multiply
    1,263.84x = 1,894.46 × 483.63
  4. Step 4: Simplify right side
    1,263.84x = 916,208.17
  5. Step 5: Solve for x
    x = 916,208.17/1,263.84
  6. Step 6: Final answer
    x = 724.94

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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.