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Finding the Fourth Proportional to 1,020.48, 1,407.96 and 578.28

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Solution

The fourth proportional to 1,020.48, 1,407.96 and 578.28 is: 797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.48 : 1,407.96 = 578.28 : x
  2. Step 2: Convert to fraction form
    1,020.48/1,407.96 = 578.28/x
  3. Step 3: Cross multiply
    1,020.48x = 1,407.96 × 578.28
  4. Step 4: Simplify right side
    1,020.48x = 814,195.11
  5. Step 5: Solve for x
    x = 814,195.11/1,020.48
  6. Step 6: Final answer
    x = 797.86

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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.