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Finding the Fourth Proportional to 1,006.09, 1,508.75 and 347.85

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Solution

The fourth proportional to 1,006.09, 1,508.75 and 347.85 is: 521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.09 : 1,508.75 = 347.85 : x
  2. Step 2: Convert to fraction form
    1,006.09/1,508.75 = 347.85/x
  3. Step 3: Cross multiply
    1,006.09x = 1,508.75 × 347.85
  4. Step 4: Simplify right side
    1,006.09x = 524,809.40
  5. Step 5: Solve for x
    x = 524,809.40/1,006.09
  6. Step 6: Final answer
    x = 521.63

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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.