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Finding the Fourth Proportional to 922.72, 1,384.24 and 435.52

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Solution

The fourth proportional to 922.72, 1,384.24 and 435.52 is: 653.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.72 : 1,384.24 = 435.52 : x
  2. Step 2: Convert to fraction form
    922.72/1,384.24 = 435.52/x
  3. Step 3: Cross multiply
    922.72x = 1,384.24 × 435.52
  4. Step 4: Simplify right side
    922.72x = 602,864.20
  5. Step 5: Solve for x
    x = 602,864.20/922.72
  6. Step 6: Final answer
    x = 653.36

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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.