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Finding the Fourth Proportional to 807.40, 1,114.15 and 458.06

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Solution

The fourth proportional to 807.40, 1,114.15 and 458.06 is: 632.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.40 : 1,114.15 = 458.06 : x
  2. Step 2: Convert to fraction form
    807.40/1,114.15 = 458.06/x
  3. Step 3: Cross multiply
    807.40x = 1,114.15 × 458.06
  4. Step 4: Simplify right side
    807.40x = 510,347.55
  5. Step 5: Solve for x
    x = 510,347.55/807.40
  6. Step 6: Final answer
    x = 632.09

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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.