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Finding the Fourth Proportional to 783.89, 1,081.14 and 504.16

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Solution

The fourth proportional to 783.89, 1,081.14 and 504.16 is: 695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.89 : 1,081.14 = 504.16 : x
  2. Step 2: Convert to fraction form
    783.89/1,081.14 = 504.16/x
  3. Step 3: Cross multiply
    783.89x = 1,081.14 × 504.16
  4. Step 4: Simplify right side
    783.89x = 545,062.14
  5. Step 5: Solve for x
    x = 545,062.14/783.89
  6. Step 6: Final answer
    x = 695.33

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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.