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Finding the Fourth Proportional to 789.25, 1,088.79 and 509.35

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Solution

The fourth proportional to 789.25, 1,088.79 and 509.35 is: 702.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.25 : 1,088.79 = 509.35 : x
  2. Step 2: Convert to fraction form
    789.25/1,088.79 = 509.35/x
  3. Step 3: Cross multiply
    789.25x = 1,088.79 × 509.35
  4. Step 4: Simplify right side
    789.25x = 554,575.19
  5. Step 5: Solve for x
    x = 554,575.19/789.25
  6. Step 6: Final answer
    x = 702.66

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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.