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Finding the Fourth Proportional to 929.34, 1,392.51 and 853.86

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Solution

The fourth proportional to 929.34, 1,392.51 and 853.86 is: 1,279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.34 : 1,392.51 = 853.86 : x
  2. Step 2: Convert to fraction form
    929.34/1,392.51 = 853.86/x
  3. Step 3: Cross multiply
    929.34x = 1,392.51 × 853.86
  4. Step 4: Simplify right side
    929.34x = 1,189,008.59
  5. Step 5: Solve for x
    x = 1,189,008.59/929.34
  6. Step 6: Final answer
    x = 1,279.41

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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.