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Finding the Fourth Proportional to 1,006.66, 1,509.62 and 348.37

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Solution

The fourth proportional to 1,006.66, 1,509.62 and 348.37 is: 522.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.66 : 1,509.62 = 348.37 : x
  2. Step 2: Convert to fraction form
    1,006.66/1,509.62 = 348.37/x
  3. Step 3: Cross multiply
    1,006.66x = 1,509.62 × 348.37
  4. Step 4: Simplify right side
    1,006.66x = 525,906.32
  5. Step 5: Solve for x
    x = 525,906.32/1,006.66
  6. Step 6: Final answer
    x = 522.43

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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.