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Finding the Fourth Proportional to 783.62, 1,081.42 and 434.30

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Solution

The fourth proportional to 783.62, 1,081.42 and 434.30 is: 599.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.62 : 1,081.42 = 434.30 : x
  2. Step 2: Convert to fraction form
    783.62/1,081.42 = 434.30/x
  3. Step 3: Cross multiply
    783.62x = 1,081.42 × 434.30
  4. Step 4: Simplify right side
    783.62x = 469,662.32
  5. Step 5: Solve for x
    x = 469,662.32/783.62
  6. Step 6: Final answer
    x = 599.35

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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.