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Finding the Fourth Proportional to 1,003.77, 1,504.27 and 565.23

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Solution

The fourth proportional to 1,003.77, 1,504.27 and 565.23 is: 847.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.77 : 1,504.27 = 565.23 : x
  2. Step 2: Convert to fraction form
    1,003.77/1,504.27 = 565.23/x
  3. Step 3: Cross multiply
    1,003.77x = 1,504.27 × 565.23
  4. Step 4: Simplify right side
    1,003.77x = 850,258.53
  5. Step 5: Solve for x
    x = 850,258.53/1,003.77
  6. Step 6: Final answer
    x = 847.07

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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.