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Finding the Fourth Proportional to 786.42, 1,084.63 and 506.71

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Solution

The fourth proportional to 786.42, 1,084.63 and 506.71 is: 698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.42 : 1,084.63 = 506.71 : x
  2. Step 2: Convert to fraction form
    786.42/1,084.63 = 506.71/x
  3. Step 3: Cross multiply
    786.42x = 1,084.63 × 506.71
  4. Step 4: Simplify right side
    786.42x = 549,592.87
  5. Step 5: Solve for x
    x = 549,592.87/786.42
  6. Step 6: Final answer
    x = 698.85

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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.