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Finding the Fourth Proportional to 1,145.30, 1,717.56 and 404.73

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Solution

The fourth proportional to 1,145.30, 1,717.56 and 404.73 is: 606.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.30 : 1,717.56 = 404.73 : x
  2. Step 2: Convert to fraction form
    1,145.30/1,717.56 = 404.73/x
  3. Step 3: Cross multiply
    1,145.30x = 1,717.56 × 404.73
  4. Step 4: Simplify right side
    1,145.30x = 695,148.06
  5. Step 5: Solve for x
    x = 695,148.06/1,145.30
  6. Step 6: Final answer
    x = 606.96

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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.