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Finding the Fourth Proportional to 1,132.75, 1,698.94 and 310.83

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Solution

The fourth proportional to 1,132.75, 1,698.94 and 310.83 is: 466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.75 : 1,698.94 = 310.83 : x
  2. Step 2: Convert to fraction form
    1,132.75/1,698.94 = 310.83/x
  3. Step 3: Cross multiply
    1,132.75x = 1,698.94 × 310.83
  4. Step 4: Simplify right side
    1,132.75x = 528,071.47
  5. Step 5: Solve for x
    x = 528,071.47/1,132.75
  6. Step 6: Final answer
    x = 466.19

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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.