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Finding the Fourth Proportional to 1,289.94, 1,935.17 and 549.55

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Solution

The fourth proportional to 1,289.94, 1,935.17 and 549.55 is: 824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.94 : 1,935.17 = 549.55 : x
  2. Step 2: Convert to fraction form
    1,289.94/1,935.17 = 549.55/x
  3. Step 3: Cross multiply
    1,289.94x = 1,935.17 × 549.55
  4. Step 4: Simplify right side
    1,289.94x = 1,063,472.67
  5. Step 5: Solve for x
    x = 1,063,472.67/1,289.94
  6. Step 6: Final answer
    x = 824.44

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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.