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Finding the Fourth Proportional to 1,005.93, 1,388.18 and 563.84

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Solution

The fourth proportional to 1,005.93, 1,388.18 and 563.84 is: 778.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.93 : 1,388.18 = 563.84 : x
  2. Step 2: Convert to fraction form
    1,005.93/1,388.18 = 563.84/x
  3. Step 3: Cross multiply
    1,005.93x = 1,388.18 × 563.84
  4. Step 4: Simplify right side
    1,005.93x = 782,701.65
  5. Step 5: Solve for x
    x = 782,701.65/1,005.93
  6. Step 6: Final answer
    x = 778.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.