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Finding the Fourth Proportional to 922.76, 1,384.34 and 402.84

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Solution

The fourth proportional to 922.76, 1,384.34 and 402.84 is: 604.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.76 : 1,384.34 = 402.84 : x
  2. Step 2: Convert to fraction form
    922.76/1,384.34 = 402.84/x
  3. Step 3: Cross multiply
    922.76x = 1,384.34 × 402.84
  4. Step 4: Simplify right side
    922.76x = 557,665.51
  5. Step 5: Solve for x
    x = 557,665.51/922.76
  6. Step 6: Final answer
    x = 604.35

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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.