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Finding the Fourth Proportional to 788.20, 1,087.74 and 509.09

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Solution

The fourth proportional to 788.20, 1,087.74 and 509.09 is: 702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.20 : 1,087.74 = 509.09 : x
  2. Step 2: Convert to fraction form
    788.20/1,087.74 = 509.09/x
  3. Step 3: Cross multiply
    788.20x = 1,087.74 × 509.09
  4. Step 4: Simplify right side
    788.20x = 553,752.12
  5. Step 5: Solve for x
    x = 553,752.12/788.20
  6. Step 6: Final answer
    x = 702.56

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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.