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Finding the Fourth Proportional to 1,006.71, 1,509.77 and 348.56

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Solution

The fourth proportional to 1,006.71, 1,509.77 and 348.56 is: 522.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.71 : 1,509.77 = 348.56 : x
  2. Step 2: Convert to fraction form
    1,006.71/1,509.77 = 348.56/x
  3. Step 3: Cross multiply
    1,006.71x = 1,509.77 × 348.56
  4. Step 4: Simplify right side
    1,006.71x = 526,239.41
  5. Step 5: Solve for x
    x = 526,239.41/1,006.71
  6. Step 6: Final answer
    x = 522.73

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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.