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Finding the Fourth Proportional to 1,717.57, 2,575.76 and 606.70

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Solution

The fourth proportional to 1,717.57, 2,575.76 and 606.70 is: 909.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.57 : 2,575.76 = 606.70 : x
  2. Step 2: Convert to fraction form
    1,717.57/2,575.76 = 606.70/x
  3. Step 3: Cross multiply
    1,717.57x = 2,575.76 × 606.70
  4. Step 4: Simplify right side
    1,717.57x = 1,562,713.59
  5. Step 5: Solve for x
    x = 1,562,713.59/1,717.57
  6. Step 6: Final answer
    x = 909.84

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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.