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Finding the Fourth Proportional to 927.84, 1,392.04 and 598.92

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Solution

The fourth proportional to 927.84, 1,392.04 and 598.92 is: 898.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.84 : 1,392.04 = 598.92 : x
  2. Step 2: Convert to fraction form
    927.84/1,392.04 = 598.92/x
  3. Step 3: Cross multiply
    927.84x = 1,392.04 × 598.92
  4. Step 4: Simplify right side
    927.84x = 833,720.60
  5. Step 5: Solve for x
    x = 833,720.60/927.84
  6. Step 6: Final answer
    x = 898.56

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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.