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Finding the Fourth Proportional to 891.56, 1,335.54 and 458.12

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Solution

The fourth proportional to 891.56, 1,335.54 and 458.12 is: 686.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.56 : 1,335.54 = 458.12 : x
  2. Step 2: Convert to fraction form
    891.56/1,335.54 = 458.12/x
  3. Step 3: Cross multiply
    891.56x = 1,335.54 × 458.12
  4. Step 4: Simplify right side
    891.56x = 611,837.58
  5. Step 5: Solve for x
    x = 611,837.58/891.56
  6. Step 6: Final answer
    x = 686.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.