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Finding the Fourth Proportional to 737.69, 1,017.65 and 442.73

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Solution

The fourth proportional to 737.69, 1,017.65 and 442.73 is: 610.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.69 : 1,017.65 = 442.73 : x
  2. Step 2: Convert to fraction form
    737.69/1,017.65 = 442.73/x
  3. Step 3: Cross multiply
    737.69x = 1,017.65 × 442.73
  4. Step 4: Simplify right side
    737.69x = 450,547.84
  5. Step 5: Solve for x
    x = 450,547.84/737.69
  6. Step 6: Final answer
    x = 610.76

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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.