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Finding the Fourth Proportional to 767.51, 1,151.26 and 459.45

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Solution

The fourth proportional to 767.51, 1,151.26 and 459.45 is: 689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.51 : 1,151.26 = 459.45 : x
  2. Step 2: Convert to fraction form
    767.51/1,151.26 = 459.45/x
  3. Step 3: Cross multiply
    767.51x = 1,151.26 × 459.45
  4. Step 4: Simplify right side
    767.51x = 528,946.41
  5. Step 5: Solve for x
    x = 528,946.41/767.51
  6. Step 6: Final answer
    x = 689.18

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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.