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Finding the Fourth Proportional to 1,020.34, 1,407.97 and 578.22

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Solution

The fourth proportional to 1,020.34, 1,407.97 and 578.22 is: 797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.34 : 1,407.97 = 578.22 : x
  2. Step 2: Convert to fraction form
    1,020.34/1,407.97 = 578.22/x
  3. Step 3: Cross multiply
    1,020.34x = 1,407.97 × 578.22
  4. Step 4: Simplify right side
    1,020.34x = 814,111.86
  5. Step 5: Solve for x
    x = 814,111.86/1,020.34
  6. Step 6: Final answer
    x = 797.88

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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.