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Finding the Fourth Proportional to 899.98, 1,348.88 and 379.88

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Solution

The fourth proportional to 899.98, 1,348.88 and 379.88 is: 569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.98 : 1,348.88 = 379.88 : x
  2. Step 2: Convert to fraction form
    899.98/1,348.88 = 379.88/x
  3. Step 3: Cross multiply
    899.98x = 1,348.88 × 379.88
  4. Step 4: Simplify right side
    899.98x = 512,412.53
  5. Step 5: Solve for x
    x = 512,412.53/899.98
  6. Step 6: Final answer
    x = 569.36

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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.