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Finding the Fourth Proportional to 810.31, 1,118.32 and 474.28

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Solution

The fourth proportional to 810.31, 1,118.32 and 474.28 is: 654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.31 : 1,118.32 = 474.28 : x
  2. Step 2: Convert to fraction form
    810.31/1,118.32 = 474.28/x
  3. Step 3: Cross multiply
    810.31x = 1,118.32 × 474.28
  4. Step 4: Simplify right side
    810.31x = 530,396.81
  5. Step 5: Solve for x
    x = 530,396.81/810.31
  6. Step 6: Final answer
    x = 654.56

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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.