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Finding the Fourth Proportional to 1,121.12, 1,681.53 and 299.46

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Solution

The fourth proportional to 1,121.12, 1,681.53 and 299.46 is: 449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.12 : 1,681.53 = 299.46 : x
  2. Step 2: Convert to fraction form
    1,121.12/1,681.53 = 299.46/x
  3. Step 3: Cross multiply
    1,121.12x = 1,681.53 × 299.46
  4. Step 4: Simplify right side
    1,121.12x = 503,549.48
  5. Step 5: Solve for x
    x = 503,549.48/1,121.12
  6. Step 6: Final answer
    x = 449.15

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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.