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Finding the Fourth Proportional to 1,076.32, 1,613.95 and 345.81

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Solution

The fourth proportional to 1,076.32, 1,613.95 and 345.81 is: 518.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.32 : 1,613.95 = 345.81 : x
  2. Step 2: Convert to fraction form
    1,076.32/1,613.95 = 345.81/x
  3. Step 3: Cross multiply
    1,076.32x = 1,613.95 × 345.81
  4. Step 4: Simplify right side
    1,076.32x = 558,120.05
  5. Step 5: Solve for x
    x = 558,120.05/1,076.32
  6. Step 6: Final answer
    x = 518.54

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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.