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Finding the Fourth Proportional to 1,282.60, 1,924.53 and 460.94

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Solution

The fourth proportional to 1,282.60, 1,924.53 and 460.94 is: 691.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.60 : 1,924.53 = 460.94 : x
  2. Step 2: Convert to fraction form
    1,282.60/1,924.53 = 460.94/x
  3. Step 3: Cross multiply
    1,282.60x = 1,924.53 × 460.94
  4. Step 4: Simplify right side
    1,282.60x = 887,092.33
  5. Step 5: Solve for x
    x = 887,092.33/1,282.60
  6. Step 6: Final answer
    x = 691.64

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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.