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Finding the Fourth Proportional to 1,132.31, 1,698.50 and 362.81

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Solution

The fourth proportional to 1,132.31, 1,698.50 and 362.81 is: 544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.31 : 1,698.50 = 362.81 : x
  2. Step 2: Convert to fraction form
    1,132.31/1,698.50 = 362.81/x
  3. Step 3: Cross multiply
    1,132.31x = 1,698.50 × 362.81
  4. Step 4: Simplify right side
    1,132.31x = 616,237.94
  5. Step 5: Solve for x
    x = 616,237.94/1,132.31
  6. Step 6: Final answer
    x = 544.23

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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.