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Finding the Fourth Proportional to 923.76, 1,385.75 and 375.86

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Solution

The fourth proportional to 923.76, 1,385.75 and 375.86 is: 563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.76 : 1,385.75 = 375.86 : x
  2. Step 2: Convert to fraction form
    923.76/1,385.75 = 375.86/x
  3. Step 3: Cross multiply
    923.76x = 1,385.75 × 375.86
  4. Step 4: Simplify right side
    923.76x = 520,849.58
  5. Step 5: Solve for x
    x = 520,849.58/923.76
  6. Step 6: Final answer
    x = 563.84

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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.