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Finding the Fourth Proportional to 1,202.48, 1,803.88 and 336.80

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Solution

The fourth proportional to 1,202.48, 1,803.88 and 336.80 is: 505.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.48 : 1,803.88 = 336.80 : x
  2. Step 2: Convert to fraction form
    1,202.48/1,803.88 = 336.80/x
  3. Step 3: Cross multiply
    1,202.48x = 1,803.88 × 336.80
  4. Step 4: Simplify right side
    1,202.48x = 607,541.57
  5. Step 5: Solve for x
    x = 607,541.57/1,202.48
  6. Step 6: Final answer
    x = 505.24

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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.