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Finding the Fourth Proportional to 1,223.94, 1,689.76 and 782.22

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Solution

The fourth proportional to 1,223.94, 1,689.76 and 782.22 is: 1,079.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.94 : 1,689.76 = 782.22 : x
  2. Step 2: Convert to fraction form
    1,223.94/1,689.76 = 782.22/x
  3. Step 3: Cross multiply
    1,223.94x = 1,689.76 × 782.22
  4. Step 4: Simplify right side
    1,223.94x = 1,321,764.07
  5. Step 5: Solve for x
    x = 1,321,764.07/1,223.94
  6. Step 6: Final answer
    x = 1,079.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.