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Finding the Fourth Proportional to 922.78, 1,384.85 and 436.17

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Solution

The fourth proportional to 922.78, 1,384.85 and 436.17 is: 654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.78 : 1,384.85 = 436.17 : x
  2. Step 2: Convert to fraction form
    922.78/1,384.85 = 436.17/x
  3. Step 3: Cross multiply
    922.78x = 1,384.85 × 436.17
  4. Step 4: Simplify right side
    922.78x = 604,026.06
  5. Step 5: Solve for x
    x = 604,026.06/922.78
  6. Step 6: Final answer
    x = 654.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.