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Finding the Fourth Proportional to 981.02, 1,471.90 and 493.98

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Solution

The fourth proportional to 981.02, 1,471.90 and 493.98 is: 741.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.02 : 1,471.90 = 493.98 : x
  2. Step 2: Convert to fraction form
    981.02/1,471.90 = 493.98/x
  3. Step 3: Cross multiply
    981.02x = 1,471.90 × 493.98
  4. Step 4: Simplify right side
    981.02x = 727,089.16
  5. Step 5: Solve for x
    x = 727,089.16/981.02
  6. Step 6: Final answer
    x = 741.16

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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.