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Finding the Fourth Proportional to 923.81, 1,386.99 and 778.82

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Solution

The fourth proportional to 923.81, 1,386.99 and 778.82 is: 1,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.81 : 1,386.99 = 778.82 : x
  2. Step 2: Convert to fraction form
    923.81/1,386.99 = 778.82/x
  3. Step 3: Cross multiply
    923.81x = 1,386.99 × 778.82
  4. Step 4: Simplify right side
    923.81x = 1,080,208.62
  5. Step 5: Solve for x
    x = 1,080,208.62/923.81
  6. Step 6: Final answer
    x = 1,169.30

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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.