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Finding the Fourth Proportional to 810.70, 1,119.03 and 512.44

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Solution

The fourth proportional to 810.70, 1,119.03 and 512.44 is: 707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.70 : 1,119.03 = 512.44 : x
  2. Step 2: Convert to fraction form
    810.70/1,119.03 = 512.44/x
  3. Step 3: Cross multiply
    810.70x = 1,119.03 × 512.44
  4. Step 4: Simplify right side
    810.70x = 573,427.58
  5. Step 5: Solve for x
    x = 573,427.58/810.70
  6. Step 6: Final answer
    x = 707.33

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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.