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Finding the Fourth Proportional to 1,547.36, 2,321.79 and 767.43

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Solution

The fourth proportional to 1,547.36, 2,321.79 and 767.43 is: 1,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.36 : 2,321.79 = 767.43 : x
  2. Step 2: Convert to fraction form
    1,547.36/2,321.79 = 767.43/x
  3. Step 3: Cross multiply
    1,547.36x = 2,321.79 × 767.43
  4. Step 4: Simplify right side
    1,547.36x = 1,781,811.30
  5. Step 5: Solve for x
    x = 1,781,811.30/1,547.36
  6. Step 6: Final answer
    x = 1,151.52

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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.