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Finding the Fourth Proportional to 1,089.98, 1,635.01 and 431.98

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Solution

The fourth proportional to 1,089.98, 1,635.01 and 431.98 is: 647.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.98 : 1,635.01 = 431.98 : x
  2. Step 2: Convert to fraction form
    1,089.98/1,635.01 = 431.98/x
  3. Step 3: Cross multiply
    1,089.98x = 1,635.01 × 431.98
  4. Step 4: Simplify right side
    1,089.98x = 706,296.86
  5. Step 5: Solve for x
    x = 706,296.86/1,089.98
  6. Step 6: Final answer
    x = 647.99

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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.