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Finding the Fourth Proportional to 777.26, 1,165.31 and 469.04

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Solution

The fourth proportional to 777.26, 1,165.31 and 469.04 is: 703.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.26 : 1,165.31 = 469.04 : x
  2. Step 2: Convert to fraction form
    777.26/1,165.31 = 469.04/x
  3. Step 3: Cross multiply
    777.26x = 1,165.31 × 469.04
  4. Step 4: Simplify right side
    777.26x = 546,574.66
  5. Step 5: Solve for x
    x = 546,574.66/777.26
  6. Step 6: Final answer
    x = 703.21

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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.