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Finding the Fourth Proportional to 1,284.28, 1,924.74 and 515.32

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Solution

The fourth proportional to 1,284.28, 1,924.74 and 515.32 is: 772.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.28 : 1,924.74 = 515.32 : x
  2. Step 2: Convert to fraction form
    1,284.28/1,924.74 = 515.32/x
  3. Step 3: Cross multiply
    1,284.28x = 1,924.74 × 515.32
  4. Step 4: Simplify right side
    1,284.28x = 991,857.02
  5. Step 5: Solve for x
    x = 991,857.02/1,284.28
  6. Step 6: Final answer
    x = 772.31

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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.