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Finding the Fourth Proportional to 1,183.76, 1,775.64 and 414.24

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Solution

The fourth proportional to 1,183.76, 1,775.64 and 414.24 is: 621.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.76 : 1,775.64 = 414.24 : x
  2. Step 2: Convert to fraction form
    1,183.76/1,775.64 = 414.24/x
  3. Step 3: Cross multiply
    1,183.76x = 1,775.64 × 414.24
  4. Step 4: Simplify right side
    1,183.76x = 735,541.11
  5. Step 5: Solve for x
    x = 735,541.11/1,183.76
  6. Step 6: Final answer
    x = 621.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.