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Finding the Fourth Proportional to 923.59, 1,384.71 and 512.11

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Solution

The fourth proportional to 923.59, 1,384.71 and 512.11 is: 767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.59 : 1,384.71 = 512.11 : x
  2. Step 2: Convert to fraction form
    923.59/1,384.71 = 512.11/x
  3. Step 3: Cross multiply
    923.59x = 1,384.71 × 512.11
  4. Step 4: Simplify right side
    923.59x = 709,123.84
  5. Step 5: Solve for x
    x = 709,123.84/923.59
  6. Step 6: Final answer
    x = 767.79

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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.