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Finding the Fourth Proportional to 1,285.82, 1,928.78 and 463.80

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Solution

The fourth proportional to 1,285.82, 1,928.78 and 463.80 is: 695.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.82 : 1,928.78 = 463.80 : x
  2. Step 2: Convert to fraction form
    1,285.82/1,928.78 = 463.80/x
  3. Step 3: Cross multiply
    1,285.82x = 1,928.78 × 463.80
  4. Step 4: Simplify right side
    1,285.82x = 894,574.82
  5. Step 5: Solve for x
    x = 894,574.82/1,285.82
  6. Step 6: Final answer
    x = 695.72

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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.