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Finding the Fourth Proportional to 810.81, 1,220.34 and 606.48

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Solution

The fourth proportional to 810.81, 1,220.34 and 606.48 is: 912.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.81 : 1,220.34 = 606.48 : x
  2. Step 2: Convert to fraction form
    810.81/1,220.34 = 606.48/x
  3. Step 3: Cross multiply
    810.81x = 1,220.34 × 606.48
  4. Step 4: Simplify right side
    810.81x = 740,111.80
  5. Step 5: Solve for x
    x = 740,111.80/810.81
  6. Step 6: Final answer
    x = 912.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.