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Finding the Fourth Proportional to 1,289.90, 1,935.15 and 549.55

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Solution

The fourth proportional to 1,289.90, 1,935.15 and 549.55 is: 824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.90 : 1,935.15 = 549.55 : x
  2. Step 2: Convert to fraction form
    1,289.90/1,935.15 = 549.55/x
  3. Step 3: Cross multiply
    1,289.90x = 1,935.15 × 549.55
  4. Step 4: Simplify right side
    1,289.90x = 1,063,463.59
  5. Step 5: Solve for x
    x = 1,063,463.59/1,289.90
  6. Step 6: Final answer
    x = 824.45

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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.