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Finding the Fourth Proportional to 737.64, 1,017.92 and 442.94

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Solution

The fourth proportional to 737.64, 1,017.92 and 442.94 is: 611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.64 : 1,017.92 = 442.94 : x
  2. Step 2: Convert to fraction form
    737.64/1,017.92 = 442.94/x
  3. Step 3: Cross multiply
    737.64x = 1,017.92 × 442.94
  4. Step 4: Simplify right side
    737.64x = 450,877.48
  5. Step 5: Solve for x
    x = 450,877.48/737.64
  6. Step 6: Final answer
    x = 611.24

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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.