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Finding the Fourth Proportional to 822.79, 1,133.51 and 573.66

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Solution

The fourth proportional to 822.79, 1,133.51 and 573.66 is: 790.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.79 : 1,133.51 = 573.66 : x
  2. Step 2: Convert to fraction form
    822.79/1,133.51 = 573.66/x
  3. Step 3: Cross multiply
    822.79x = 1,133.51 × 573.66
  4. Step 4: Simplify right side
    822.79x = 650,249.35
  5. Step 5: Solve for x
    x = 650,249.35/822.79
  6. Step 6: Final answer
    x = 790.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.