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Finding the Fourth Proportional to 737.84, 1,017.96 and 442.88

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Solution

The fourth proportional to 737.84, 1,017.96 and 442.88 is: 611.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.84 : 1,017.96 = 442.88 : x
  2. Step 2: Convert to fraction form
    737.84/1,017.96 = 442.88/x
  3. Step 3: Cross multiply
    737.84x = 1,017.96 × 442.88
  4. Step 4: Simplify right side
    737.84x = 450,834.12
  5. Step 5: Solve for x
    x = 450,834.12/737.84
  6. Step 6: Final answer
    x = 611.02

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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.