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Finding the Fourth Proportional to 777.69, 1,073.36 and 511.67

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Solution

The fourth proportional to 777.69, 1,073.36 and 511.67 is: 706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.69 : 1,073.36 = 511.67 : x
  2. Step 2: Convert to fraction form
    777.69/1,073.36 = 511.67/x
  3. Step 3: Cross multiply
    777.69x = 1,073.36 × 511.67
  4. Step 4: Simplify right side
    777.69x = 549,202.02
  5. Step 5: Solve for x
    x = 549,202.02/777.69
  6. Step 6: Final answer
    x = 706.20

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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.