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Finding the Fourth Proportional to 783.92, 1,081.75 and 429.77

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Solution

The fourth proportional to 783.92, 1,081.75 and 429.77 is: 593.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.92 : 1,081.75 = 429.77 : x
  2. Step 2: Convert to fraction form
    783.92/1,081.75 = 429.77/x
  3. Step 3: Cross multiply
    783.92x = 1,081.75 × 429.77
  4. Step 4: Simplify right side
    783.92x = 464,903.70
  5. Step 5: Solve for x
    x = 464,903.70/783.92
  6. Step 6: Final answer
    x = 593.05

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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.