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Finding the Fourth Proportional to 923.66, 1,384.27 and 512.58

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Solution

The fourth proportional to 923.66, 1,384.27 and 512.58 is: 768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.66 : 1,384.27 = 512.58 : x
  2. Step 2: Convert to fraction form
    923.66/1,384.27 = 512.58/x
  3. Step 3: Cross multiply
    923.66x = 1,384.27 × 512.58
  4. Step 4: Simplify right side
    923.66x = 709,547.84
  5. Step 5: Solve for x
    x = 709,547.84/923.66
  6. Step 6: Final answer
    x = 768.20

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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.