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Finding the Fourth Proportional to 1,317.78, 1,976.67 and 578.12

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Solution

The fourth proportional to 1,317.78, 1,976.67 and 578.12 is: 867.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.78 : 1,976.67 = 578.12 : x
  2. Step 2: Convert to fraction form
    1,317.78/1,976.67 = 578.12/x
  3. Step 3: Cross multiply
    1,317.78x = 1,976.67 × 578.12
  4. Step 4: Simplify right side
    1,317.78x = 1,142,742.58
  5. Step 5: Solve for x
    x = 1,142,742.58/1,317.78
  6. Step 6: Final answer
    x = 867.17

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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.