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Finding the Fourth Proportional to 1,121.36, 1,547.51 and 624.06

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Solution

The fourth proportional to 1,121.36, 1,547.51 and 624.06 is: 861.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.36 : 1,547.51 = 624.06 : x
  2. Step 2: Convert to fraction form
    1,121.36/1,547.51 = 624.06/x
  3. Step 3: Cross multiply
    1,121.36x = 1,547.51 × 624.06
  4. Step 4: Simplify right side
    1,121.36x = 965,735.97
  5. Step 5: Solve for x
    x = 965,735.97/1,121.36
  6. Step 6: Final answer
    x = 861.22

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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.