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Finding the Fourth Proportional to 1,161.90, 1,602.18 and 812.52

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Solution

The fourth proportional to 1,161.90, 1,602.18 and 812.52 is: 1,120.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.90 : 1,602.18 = 812.52 : x
  2. Step 2: Convert to fraction form
    1,161.90/1,602.18 = 812.52/x
  3. Step 3: Cross multiply
    1,161.90x = 1,602.18 × 812.52
  4. Step 4: Simplify right side
    1,161.90x = 1,301,803.29
  5. Step 5: Solve for x
    x = 1,301,803.29/1,161.90
  6. Step 6: Final answer
    x = 1,120.41

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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.