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Finding the Fourth Proportional to 1,281.60, 1,922.40 and 623.52

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Solution

The fourth proportional to 1,281.60, 1,922.40 and 623.52 is: 935.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.60 : 1,922.40 = 623.52 : x
  2. Step 2: Convert to fraction form
    1,281.60/1,922.40 = 623.52/x
  3. Step 3: Cross multiply
    1,281.60x = 1,922.40 × 623.52
  4. Step 4: Simplify right side
    1,281.60x = 1,198,654.85
  5. Step 5: Solve for x
    x = 1,198,654.85/1,281.60
  6. Step 6: Final answer
    x = 935.28

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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.