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Finding the Fourth Proportional to 777.08, 1,164.59 and 694.72

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Solution

The fourth proportional to 777.08, 1,164.59 and 694.72 is: 1,041.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.08 : 1,164.59 = 694.72 : x
  2. Step 2: Convert to fraction form
    777.08/1,164.59 = 694.72/x
  3. Step 3: Cross multiply
    777.08x = 1,164.59 × 694.72
  4. Step 4: Simplify right side
    777.08x = 809,057.58
  5. Step 5: Solve for x
    x = 809,057.58/777.08
  6. Step 6: Final answer
    x = 1,041.15

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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.