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Finding the Fourth Proportional to 821.95, 1,134.32 and 472.64

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Solution

The fourth proportional to 821.95, 1,134.32 and 472.64 is: 652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.95 : 1,134.32 = 472.64 : x
  2. Step 2: Convert to fraction form
    821.95/1,134.32 = 472.64/x
  3. Step 3: Cross multiply
    821.95x = 1,134.32 × 472.64
  4. Step 4: Simplify right side
    821.95x = 536,116.97
  5. Step 5: Solve for x
    x = 536,116.97/821.95
  6. Step 6: Final answer
    x = 652.25

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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.