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Finding the Fourth Proportional to 922.73, 1,274.40 and 715.41

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Solution

The fourth proportional to 922.73, 1,274.40 and 715.41 is: 988.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.73 : 1,274.40 = 715.41 : x
  2. Step 2: Convert to fraction form
    922.73/1,274.40 = 715.41/x
  3. Step 3: Cross multiply
    922.73x = 1,274.40 × 715.41
  4. Step 4: Simplify right side
    922.73x = 911,718.50
  5. Step 5: Solve for x
    x = 911,718.50/922.73
  6. Step 6: Final answer
    x = 988.07

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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.