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Finding the Fourth Proportional to 1,089.50, 1,634.98 and 405.50

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Solution

The fourth proportional to 1,089.50, 1,634.98 and 405.50 is: 608.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.50 : 1,634.98 = 405.50 : x
  2. Step 2: Convert to fraction form
    1,089.50/1,634.98 = 405.50/x
  3. Step 3: Cross multiply
    1,089.50x = 1,634.98 × 405.50
  4. Step 4: Simplify right side
    1,089.50x = 662,984.39
  5. Step 5: Solve for x
    x = 662,984.39/1,089.50
  6. Step 6: Final answer
    x = 608.52

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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.