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Finding the Fourth Proportional to 669.09, 1,003.83 and 565.30

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Solution

The fourth proportional to 669.09, 1,003.83 and 565.30 is: 848.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.09 : 1,003.83 = 565.30 : x
  2. Step 2: Convert to fraction form
    669.09/1,003.83 = 565.30/x
  3. Step 3: Cross multiply
    669.09x = 1,003.83 × 565.30
  4. Step 4: Simplify right side
    669.09x = 567,465.10
  5. Step 5: Solve for x
    x = 567,465.10/669.09
  6. Step 6: Final answer
    x = 848.11

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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.