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Finding the Fourth Proportional to 1,785.69, 2,678.58 and 487.17

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Solution

The fourth proportional to 1,785.69, 2,678.58 and 487.17 is: 730.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.69 : 2,678.58 = 487.17 : x
  2. Step 2: Convert to fraction form
    1,785.69/2,678.58 = 487.17/x
  3. Step 3: Cross multiply
    1,785.69x = 2,678.58 × 487.17
  4. Step 4: Simplify right side
    1,785.69x = 1,304,923.82
  5. Step 5: Solve for x
    x = 1,304,923.82/1,785.69
  6. Step 6: Final answer
    x = 730.77

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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.