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Finding the Fourth Proportional to 1,285.71, 1,928.10 and 463.76

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Solution

The fourth proportional to 1,285.71, 1,928.10 and 463.76 is: 695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.71 : 1,928.10 = 463.76 : x
  2. Step 2: Convert to fraction form
    1,285.71/1,928.10 = 463.76/x
  3. Step 3: Cross multiply
    1,285.71x = 1,928.10 × 463.76
  4. Step 4: Simplify right side
    1,285.71x = 894,175.66
  5. Step 5: Solve for x
    x = 894,175.66/1,285.71
  6. Step 6: Final answer
    x = 695.47

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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.