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Finding the Fourth Proportional to 993.81, 1,489.65 and 377.25

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Solution

The fourth proportional to 993.81, 1,489.65 and 377.25 is: 565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.81 : 1,489.65 = 377.25 : x
  2. Step 2: Convert to fraction form
    993.81/1,489.65 = 377.25/x
  3. Step 3: Cross multiply
    993.81x = 1,489.65 × 377.25
  4. Step 4: Simplify right side
    993.81x = 561,963.46
  5. Step 5: Solve for x
    x = 561,963.46/993.81
  6. Step 6: Final answer
    x = 565.46

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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.