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Finding the Fourth Proportional to 1,285.04, 1,926.44 and 763.76

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Solution

The fourth proportional to 1,285.04, 1,926.44 and 763.76 is: 1,144.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.04 : 1,926.44 = 763.76 : x
  2. Step 2: Convert to fraction form
    1,285.04/1,926.44 = 763.76/x
  3. Step 3: Cross multiply
    1,285.04x = 1,926.44 × 763.76
  4. Step 4: Simplify right side
    1,285.04x = 1,471,337.81
  5. Step 5: Solve for x
    x = 1,471,337.81/1,285.04
  6. Step 6: Final answer
    x = 1,144.97

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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.