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Finding the Fourth Proportional to 922.07, 1,382.21 and 592.09

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Solution

The fourth proportional to 922.07, 1,382.21 and 592.09 is: 887.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.07 : 1,382.21 = 592.09 : x
  2. Step 2: Convert to fraction form
    922.07/1,382.21 = 592.09/x
  3. Step 3: Cross multiply
    922.07x = 1,382.21 × 592.09
  4. Step 4: Simplify right side
    922.07x = 818,386.30
  5. Step 5: Solve for x
    x = 818,386.30/922.07
  6. Step 6: Final answer
    x = 887.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.