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Finding the Fourth Proportional to 786.39, 1,177.88 and 511.67

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Solution

The fourth proportional to 786.39, 1,177.88 and 511.67 is: 766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.39 : 1,177.88 = 511.67 : x
  2. Step 2: Convert to fraction form
    786.39/1,177.88 = 511.67/x
  3. Step 3: Cross multiply
    786.39x = 1,177.88 × 511.67
  4. Step 4: Simplify right side
    786.39x = 602,677.41
  5. Step 5: Solve for x
    x = 602,677.41/786.39
  6. Step 6: Final answer
    x = 766.38

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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.