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Finding the Fourth Proportional to 811.78, 1,119.94 and 512.93

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Solution

The fourth proportional to 811.78, 1,119.94 and 512.93 is: 707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.78 : 1,119.94 = 512.93 : x
  2. Step 2: Convert to fraction form
    811.78/1,119.94 = 512.93/x
  3. Step 3: Cross multiply
    811.78x = 1,119.94 × 512.93
  4. Step 4: Simplify right side
    811.78x = 574,450.82
  5. Step 5: Solve for x
    x = 574,450.82/811.78
  6. Step 6: Final answer
    x = 707.64

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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.