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Finding the Fourth Proportional to 822.40, 1,135.02 and 473.02

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Solution

The fourth proportional to 822.40, 1,135.02 and 473.02 is: 652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.40 : 1,135.02 = 473.02 : x
  2. Step 2: Convert to fraction form
    822.40/1,135.02 = 473.02/x
  3. Step 3: Cross multiply
    822.40x = 1,135.02 × 473.02
  4. Step 4: Simplify right side
    822.40x = 536,887.16
  5. Step 5: Solve for x
    x = 536,887.16/822.40
  6. Step 6: Final answer
    x = 652.83

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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.