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Finding the Fourth Proportional to 1,116.33, 1,541.07 and 785.04

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Solution

The fourth proportional to 1,116.33, 1,541.07 and 785.04 is: 1,083.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.33 : 1,541.07 = 785.04 : x
  2. Step 2: Convert to fraction form
    1,116.33/1,541.07 = 785.04/x
  3. Step 3: Cross multiply
    1,116.33x = 1,541.07 × 785.04
  4. Step 4: Simplify right side
    1,116.33x = 1,209,801.59
  5. Step 5: Solve for x
    x = 1,209,801.59/1,116.33
  6. Step 6: Final answer
    x = 1,083.73

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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.