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Finding the Fourth Proportional to 822.18, 1,134.63 and 468.18

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Solution

The fourth proportional to 822.18, 1,134.63 and 468.18 is: 646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.18 : 1,134.63 = 468.18 : x
  2. Step 2: Convert to fraction form
    822.18/1,134.63 = 468.18/x
  3. Step 3: Cross multiply
    822.18x = 1,134.63 × 468.18
  4. Step 4: Simplify right side
    822.18x = 531,211.07
  5. Step 5: Solve for x
    x = 531,211.07/822.18
  6. Step 6: Final answer
    x = 646.10

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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.