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Finding the Fourth Proportional to 1,132.35, 1,698.21 and 310.42

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Solution

The fourth proportional to 1,132.35, 1,698.21 and 310.42 is: 465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.35 : 1,698.21 = 310.42 : x
  2. Step 2: Convert to fraction form
    1,132.35/1,698.21 = 310.42/x
  3. Step 3: Cross multiply
    1,132.35x = 1,698.21 × 310.42
  4. Step 4: Simplify right side
    1,132.35x = 527,165.68
  5. Step 5: Solve for x
    x = 527,165.68/1,132.35
  6. Step 6: Final answer
    x = 465.55

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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.