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Finding the Fourth Proportional to 923.75, 1,385.63 and 512.79

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Solution

The fourth proportional to 923.75, 1,385.63 and 512.79 is: 769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.75 : 1,385.63 = 512.79 : x
  2. Step 2: Convert to fraction form
    923.75/1,385.63 = 512.79/x
  3. Step 3: Cross multiply
    923.75x = 1,385.63 × 512.79
  4. Step 4: Simplify right side
    923.75x = 710,537.21
  5. Step 5: Solve for x
    x = 710,537.21/923.75
  6. Step 6: Final answer
    x = 769.19

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Double scale
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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.