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Finding the Fourth Proportional to 767.40, 1,151.10 and 509.07

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Solution

The fourth proportional to 767.40, 1,151.10 and 509.07 is: 763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.40 : 1,151.10 = 509.07 : x
  2. Step 2: Convert to fraction form
    767.40/1,151.10 = 509.07/x
  3. Step 3: Cross multiply
    767.40x = 1,151.10 × 509.07
  4. Step 4: Simplify right side
    767.40x = 585,990.48
  5. Step 5: Solve for x
    x = 585,990.48/767.40
  6. Step 6: Final answer
    x = 763.61

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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.