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Finding the Fourth Proportional to 786.65, 1,086.24 and 578

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Solution

The fourth proportional to 786.65, 1,086.24 and 578 is: 798.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.65 : 1,086.24 = 578 : x
  2. Step 2: Convert to fraction form
    786.65/1,086.24 = 578/x
  3. Step 3: Cross multiply
    786.65x = 1,086.24 × 578
  4. Step 4: Simplify right side
    786.65x = 627,846.72
  5. Step 5: Solve for x
    x = 627,846.72/786.65
  6. Step 6: Final answer
    x = 798.13

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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.