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Finding the Fourth Proportional to 788.41, 1,088 and 434.32

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Solution

The fourth proportional to 788.41, 1,088 and 434.32 is: 599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.41 : 1,088 = 434.32 : x
  2. Step 2: Convert to fraction form
    788.41/1,088 = 434.32/x
  3. Step 3: Cross multiply
    788.41x = 1,088 × 434.32
  4. Step 4: Simplify right side
    788.41x = 472,540.16
  5. Step 5: Solve for x
    x = 472,540.16/788.41
  6. Step 6: Final answer
    x = 599.36

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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.