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Finding the Fourth Proportional to 1,092.18, 1,638.09 and 322.50

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Solution

The fourth proportional to 1,092.18, 1,638.09 and 322.50 is: 483.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.18 : 1,638.09 = 322.50 : x
  2. Step 2: Convert to fraction form
    1,092.18/1,638.09 = 322.50/x
  3. Step 3: Cross multiply
    1,092.18x = 1,638.09 × 322.50
  4. Step 4: Simplify right side
    1,092.18x = 528,284.03
  5. Step 5: Solve for x
    x = 528,284.03/1,092.18
  6. Step 6: Final answer
    x = 483.70

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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.