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Finding the Fourth Proportional to 923.84, 1,274.82 and 569.66

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Solution

The fourth proportional to 923.84, 1,274.82 and 569.66 is: 786.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.84 : 1,274.82 = 569.66 : x
  2. Step 2: Convert to fraction form
    923.84/1,274.82 = 569.66/x
  3. Step 3: Cross multiply
    923.84x = 1,274.82 × 569.66
  4. Step 4: Simplify right side
    923.84x = 726,207.59
  5. Step 5: Solve for x
    x = 726,207.59/923.84
  6. Step 6: Final answer
    x = 786.08

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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.