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Finding the Fourth Proportional to 1,146.57, 1,719.99 and 366.36

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Solution

The fourth proportional to 1,146.57, 1,719.99 and 366.36 is: 549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.57 : 1,719.99 = 366.36 : x
  2. Step 2: Convert to fraction form
    1,146.57/1,719.99 = 366.36/x
  3. Step 3: Cross multiply
    1,146.57x = 1,719.99 × 366.36
  4. Step 4: Simplify right side
    1,146.57x = 630,135.54
  5. Step 5: Solve for x
    x = 630,135.54/1,146.57
  6. Step 6: Final answer
    x = 549.58

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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.