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Finding the Fourth Proportional to 807.57, 1,114.46 and 458.26

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Solution

The fourth proportional to 807.57, 1,114.46 and 458.26 is: 632.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.57 : 1,114.46 = 458.26 : x
  2. Step 2: Convert to fraction form
    807.57/1,114.46 = 458.26/x
  3. Step 3: Cross multiply
    807.57x = 1,114.46 × 458.26
  4. Step 4: Simplify right side
    807.57x = 510,709.08
  5. Step 5: Solve for x
    x = 510,709.08/807.57
  6. Step 6: Final answer
    x = 632.40

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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.