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Finding the Fourth Proportional to 1,122.44, 1,547.97 and 679.58

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Solution

The fourth proportional to 1,122.44, 1,547.97 and 679.58 is: 937.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.44 : 1,547.97 = 679.58 : x
  2. Step 2: Convert to fraction form
    1,122.44/1,547.97 = 679.58/x
  3. Step 3: Cross multiply
    1,122.44x = 1,547.97 × 679.58
  4. Step 4: Simplify right side
    1,122.44x = 1,051,969.45
  5. Step 5: Solve for x
    x = 1,051,969.45/1,122.44
  6. Step 6: Final answer
    x = 937.22

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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.