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Finding the Fourth Proportional to 857.32, 1,287.50 and 788.69

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Solution

The fourth proportional to 857.32, 1,287.50 and 788.69 is: 1,184.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.32 : 1,287.50 = 788.69 : x
  2. Step 2: Convert to fraction form
    857.32/1,287.50 = 788.69/x
  3. Step 3: Cross multiply
    857.32x = 1,287.50 × 788.69
  4. Step 4: Simplify right side
    857.32x = 1,015,437.65
  5. Step 5: Solve for x
    x = 1,015,437.65/857.32
  6. Step 6: Final answer
    x = 1,184.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.