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Finding the Fourth Proportional to 1,281.83, 1,922.64 and 357.31

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Solution

The fourth proportional to 1,281.83, 1,922.64 and 357.31 is: 535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.83 : 1,922.64 = 357.31 : x
  2. Step 2: Convert to fraction form
    1,281.83/1,922.64 = 357.31/x
  3. Step 3: Cross multiply
    1,281.83x = 1,922.64 × 357.31
  4. Step 4: Simplify right side
    1,281.83x = 686,979.56
  5. Step 5: Solve for x
    x = 686,979.56/1,281.83
  6. Step 6: Final answer
    x = 535.94

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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.