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Finding the Fourth Proportional to 807.53, 1,114.34 and 458.22

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Solution

The fourth proportional to 807.53, 1,114.34 and 458.22 is: 632.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.53 : 1,114.34 = 458.22 : x
  2. Step 2: Convert to fraction form
    807.53/1,114.34 = 458.22/x
  3. Step 3: Cross multiply
    807.53x = 1,114.34 × 458.22
  4. Step 4: Simplify right side
    807.53x = 510,610.58
  5. Step 5: Solve for x
    x = 510,610.58/807.53
  6. Step 6: Final answer
    x = 632.31

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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.