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Finding the Fourth Proportional to 1,284.30, 1,924.77 and 736.74

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Solution

The fourth proportional to 1,284.30, 1,924.77 and 736.74 is: 1,104.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.30 : 1,924.77 = 736.74 : x
  2. Step 2: Convert to fraction form
    1,284.30/1,924.77 = 736.74/x
  3. Step 3: Cross multiply
    1,284.30x = 1,924.77 × 736.74
  4. Step 4: Simplify right side
    1,284.30x = 1,418,055.05
  5. Step 5: Solve for x
    x = 1,418,055.05/1,284.30
  6. Step 6: Final answer
    x = 1,104.15

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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.