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Finding the Fourth Proportional to 891.17, 1,335.95 and 602

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Solution

The fourth proportional to 891.17, 1,335.95 and 602 is: 902.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.17 : 1,335.95 = 602 : x
  2. Step 2: Convert to fraction form
    891.17/1,335.95 = 602/x
  3. Step 3: Cross multiply
    891.17x = 1,335.95 × 602
  4. Step 4: Simplify right side
    891.17x = 804,238.89
  5. Step 5: Solve for x
    x = 804,238.89/891.17
  6. Step 6: Final answer
    x = 902.45

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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.