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Finding the Fourth Proportional to 923.58, 1,385.10 and 760.86

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Solution

The fourth proportional to 923.58, 1,385.10 and 760.86 is: 1,141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.58 : 1,385.10 = 760.86 : x
  2. Step 2: Convert to fraction form
    923.58/1,385.10 = 760.86/x
  3. Step 3: Cross multiply
    923.58x = 1,385.10 × 760.86
  4. Step 4: Simplify right side
    923.58x = 1,053,867.19
  5. Step 5: Solve for x
    x = 1,053,867.19/923.58
  6. Step 6: Final answer
    x = 1,141.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.