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Finding the Fourth Proportional to 1,108.98, 1,663.47 and 339.38

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Solution

The fourth proportional to 1,108.98, 1,663.47 and 339.38 is: 509.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.98 : 1,663.47 = 339.38 : x
  2. Step 2: Convert to fraction form
    1,108.98/1,663.47 = 339.38/x
  3. Step 3: Cross multiply
    1,108.98x = 1,663.47 × 339.38
  4. Step 4: Simplify right side
    1,108.98x = 564,548.45
  5. Step 5: Solve for x
    x = 564,548.45/1,108.98
  6. Step 6: Final answer
    x = 509.07

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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.