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Finding the Fourth Proportional to 1,137.73, 1,570.26 and 659.12

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Solution

The fourth proportional to 1,137.73, 1,570.26 and 659.12 is: 909.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.73 : 1,570.26 = 659.12 : x
  2. Step 2: Convert to fraction form
    1,137.73/1,570.26 = 659.12/x
  3. Step 3: Cross multiply
    1,137.73x = 1,570.26 × 659.12
  4. Step 4: Simplify right side
    1,137.73x = 1,034,981.92
  5. Step 5: Solve for x
    x = 1,034,981.92/1,137.73
  6. Step 6: Final answer
    x = 909.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.