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Finding the Fourth Proportional to 737.55, 1,017.93 and 442.83

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Solution

The fourth proportional to 737.55, 1,017.93 and 442.83 is: 611.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.55 : 1,017.93 = 442.83 : x
  2. Step 2: Convert to fraction form
    737.55/1,017.93 = 442.83/x
  3. Step 3: Cross multiply
    737.55x = 1,017.93 × 442.83
  4. Step 4: Simplify right side
    737.55x = 450,769.94
  5. Step 5: Solve for x
    x = 450,769.94/737.55
  6. Step 6: Final answer
    x = 611.17

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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.