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Finding the Fourth Proportional to 776.46, 1,163.65 and 570.06

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Solution

The fourth proportional to 776.46, 1,163.65 and 570.06 is: 854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.46 : 1,163.65 = 570.06 : x
  2. Step 2: Convert to fraction form
    776.46/1,163.65 = 570.06/x
  3. Step 3: Cross multiply
    776.46x = 1,163.65 × 570.06
  4. Step 4: Simplify right side
    776.46x = 663,344.50
  5. Step 5: Solve for x
    x = 663,344.50/776.46
  6. Step 6: Final answer
    x = 854.32

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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.