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Finding the Fourth Proportional to 923.13, 1,385.35 and 512.59

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Solution

The fourth proportional to 923.13, 1,385.35 and 512.59 is: 769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.13 : 1,385.35 = 512.59 : x
  2. Step 2: Convert to fraction form
    923.13/1,385.35 = 512.59/x
  3. Step 3: Cross multiply
    923.13x = 1,385.35 × 512.59
  4. Step 4: Simplify right side
    923.13x = 710,113.99
  5. Step 5: Solve for x
    x = 710,113.99/923.13
  6. Step 6: Final answer
    x = 769.25

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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.