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Finding the Fourth Proportional to 822.63, 1,135.23 and 473.32

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Solution

The fourth proportional to 822.63, 1,135.23 and 473.32 is: 653.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.63 : 1,135.23 = 473.32 : x
  2. Step 2: Convert to fraction form
    822.63/1,135.23 = 473.32/x
  3. Step 3: Cross multiply
    822.63x = 1,135.23 × 473.32
  4. Step 4: Simplify right side
    822.63x = 537,327.06
  5. Step 5: Solve for x
    x = 537,327.06/822.63
  6. Step 6: Final answer
    x = 653.18

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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.