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Finding the Fourth Proportional to 1,183.54, 1,775.51 and 534.32

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Solution

The fourth proportional to 1,183.54, 1,775.51 and 534.32 is: 801.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.54 : 1,775.51 = 534.32 : x
  2. Step 2: Convert to fraction form
    1,183.54/1,775.51 = 534.32/x
  3. Step 3: Cross multiply
    1,183.54x = 1,775.51 × 534.32
  4. Step 4: Simplify right side
    1,183.54x = 948,690.50
  5. Step 5: Solve for x
    x = 948,690.50/1,183.54
  6. Step 6: Final answer
    x = 801.57

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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.