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Finding the Fourth Proportional to 1,364.76, 1,882.77 and 922.50

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Solution

The fourth proportional to 1,364.76, 1,882.77 and 922.50 is: 1,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.76 : 1,882.77 = 922.50 : x
  2. Step 2: Convert to fraction form
    1,364.76/1,882.77 = 922.50/x
  3. Step 3: Cross multiply
    1,364.76x = 1,882.77 × 922.50
  4. Step 4: Simplify right side
    1,364.76x = 1,736,855.33
  5. Step 5: Solve for x
    x = 1,736,855.33/1,364.76
  6. Step 6: Final answer
    x = 1,272.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.