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Finding the Fourth Proportional to 922.62, 1,384.32 and 435.54

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Solution

The fourth proportional to 922.62, 1,384.32 and 435.54 is: 653.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.62 : 1,384.32 = 435.54 : x
  2. Step 2: Convert to fraction form
    922.62/1,384.32 = 435.54/x
  3. Step 3: Cross multiply
    922.62x = 1,384.32 × 435.54
  4. Step 4: Simplify right side
    922.62x = 602,926.73
  5. Step 5: Solve for x
    x = 602,926.73/922.62
  6. Step 6: Final answer
    x = 653.49

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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.