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Finding the Fourth Proportional to 923.79, 1,274.31 and 587.07

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Solution

The fourth proportional to 923.79, 1,274.31 and 587.07 is: 809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.79 : 1,274.31 = 587.07 : x
  2. Step 2: Convert to fraction form
    923.79/1,274.31 = 587.07/x
  3. Step 3: Cross multiply
    923.79x = 1,274.31 × 587.07
  4. Step 4: Simplify right side
    923.79x = 748,109.17
  5. Step 5: Solve for x
    x = 748,109.17/923.79
  6. Step 6: Final answer
    x = 809.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.