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Finding the Fourth Proportional to 783.43, 1,081.14 and 429.34

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Solution

The fourth proportional to 783.43, 1,081.14 and 429.34 is: 592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.43 : 1,081.14 = 429.34 : x
  2. Step 2: Convert to fraction form
    783.43/1,081.14 = 429.34/x
  3. Step 3: Cross multiply
    783.43x = 1,081.14 × 429.34
  4. Step 4: Simplify right side
    783.43x = 464,176.65
  5. Step 5: Solve for x
    x = 464,176.65/783.43
  6. Step 6: Final answer
    x = 592.50

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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.