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Finding the Fourth Proportional to 929.41, 1,393.57 and 640.51

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Solution

The fourth proportional to 929.41, 1,393.57 and 640.51 is: 960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.41 : 1,393.57 = 640.51 : x
  2. Step 2: Convert to fraction form
    929.41/1,393.57 = 640.51/x
  3. Step 3: Cross multiply
    929.41x = 1,393.57 × 640.51
  4. Step 4: Simplify right side
    929.41x = 892,595.52
  5. Step 5: Solve for x
    x = 892,595.52/929.41
  6. Step 6: Final answer
    x = 960.39

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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.