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Finding the Fourth Proportional to 822.74, 1,135.29 and 473.36

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Solution

The fourth proportional to 822.74, 1,135.29 and 473.36 is: 653.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.74 : 1,135.29 = 473.36 : x
  2. Step 2: Convert to fraction form
    822.74/1,135.29 = 473.36/x
  3. Step 3: Cross multiply
    822.74x = 1,135.29 × 473.36
  4. Step 4: Simplify right side
    822.74x = 537,400.87
  5. Step 5: Solve for x
    x = 537,400.87/822.74
  6. Step 6: Final answer
    x = 653.18

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