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Finding the Fourth Proportional to 873.57, 1,309.04 and 775.77

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Solution

The fourth proportional to 873.57, 1,309.04 and 775.77 is: 1,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.57 : 1,309.04 = 775.77 : x
  2. Step 2: Convert to fraction form
    873.57/1,309.04 = 775.77/x
  3. Step 3: Cross multiply
    873.57x = 1,309.04 × 775.77
  4. Step 4: Simplify right side
    873.57x = 1,015,513.96
  5. Step 5: Solve for x
    x = 1,015,513.96/873.57
  6. Step 6: Final answer
    x = 1,162.49

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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.