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Finding the Fourth Proportional to 1,006.41, 1,509.66 and 357.24

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Solution

The fourth proportional to 1,006.41, 1,509.66 and 357.24 is: 535.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.41 : 1,509.66 = 357.24 : x
  2. Step 2: Convert to fraction form
    1,006.41/1,509.66 = 357.24/x
  3. Step 3: Cross multiply
    1,006.41x = 1,509.66 × 357.24
  4. Step 4: Simplify right side
    1,006.41x = 539,310.94
  5. Step 5: Solve for x
    x = 539,310.94/1,006.41
  6. Step 6: Final answer
    x = 535.88

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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.