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Finding the Fourth Proportional to 1,076.50, 1,613.66 and 383

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Solution

The fourth proportional to 1,076.50, 1,613.66 and 383 is: 574.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.50 : 1,613.66 = 383 : x
  2. Step 2: Convert to fraction form
    1,076.50/1,613.66 = 383/x
  3. Step 3: Cross multiply
    1,076.50x = 1,613.66 × 383
  4. Step 4: Simplify right side
    1,076.50x = 618,031.78
  5. Step 5: Solve for x
    x = 618,031.78/1,076.50
  6. Step 6: Final answer
    x = 574.11

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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.