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Finding the Fourth Proportional to 1,245.98, 1,868.44 and 368.24

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Solution

The fourth proportional to 1,245.98, 1,868.44 and 368.24 is: 552.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.98 : 1,868.44 = 368.24 : x
  2. Step 2: Convert to fraction form
    1,245.98/1,868.44 = 368.24/x
  3. Step 3: Cross multiply
    1,245.98x = 1,868.44 × 368.24
  4. Step 4: Simplify right side
    1,245.98x = 688,034.35
  5. Step 5: Solve for x
    x = 688,034.35/1,245.98
  6. Step 6: Final answer
    x = 552.20

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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.