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Finding the Fourth Proportional to 1,132.50, 1,698.72 and 310.80

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Solution

The fourth proportional to 1,132.50, 1,698.72 and 310.80 is: 466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.50 : 1,698.72 = 310.80 : x
  2. Step 2: Convert to fraction form
    1,132.50/1,698.72 = 310.80/x
  3. Step 3: Cross multiply
    1,132.50x = 1,698.72 × 310.80
  4. Step 4: Simplify right side
    1,132.50x = 527,962.18
  5. Step 5: Solve for x
    x = 527,962.18/1,132.50
  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.