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Finding the Fourth Proportional to 786.47, 1,176.08 and 578.85

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Solution

The fourth proportional to 786.47, 1,176.08 and 578.85 is: 865.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.47 : 1,176.08 = 578.85 : x
  2. Step 2: Convert to fraction form
    786.47/1,176.08 = 578.85/x
  3. Step 3: Cross multiply
    786.47x = 1,176.08 × 578.85
  4. Step 4: Simplify right side
    786.47x = 680,771.01
  5. Step 5: Solve for x
    x = 680,771.01/786.47
  6. Step 6: Final answer
    x = 865.61

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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.