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Finding the Fourth Proportional to 922.08, 1,272.32 and 508

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Solution

The fourth proportional to 922.08, 1,272.32 and 508 is: 700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.08 : 1,272.32 = 508 : x
  2. Step 2: Convert to fraction form
    922.08/1,272.32 = 508/x
  3. Step 3: Cross multiply
    922.08x = 1,272.32 × 508
  4. Step 4: Simplify right side
    922.08x = 646,338.56
  5. Step 5: Solve for x
    x = 646,338.56/922.08
  6. Step 6: Final answer
    x = 700.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.