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Finding the Fourth Proportional to 804.54, 1,110.64 and 510.20

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Solution

The fourth proportional to 804.54, 1,110.64 and 510.20 is: 704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.54 : 1,110.64 = 510.20 : x
  2. Step 2: Convert to fraction form
    804.54/1,110.64 = 510.20/x
  3. Step 3: Cross multiply
    804.54x = 1,110.64 × 510.20
  4. Step 4: Simplify right side
    804.54x = 566,648.53
  5. Step 5: Solve for x
    x = 566,648.53/804.54
  6. Step 6: Final answer
    x = 704.31

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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.