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Finding the Fourth Proportional to 807.30, 1,209.47 and 442.53

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Solution

The fourth proportional to 807.30, 1,209.47 and 442.53 is: 662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.30 : 1,209.47 = 442.53 : x
  2. Step 2: Convert to fraction form
    807.30/1,209.47 = 442.53/x
  3. Step 3: Cross multiply
    807.30x = 1,209.47 × 442.53
  4. Step 4: Simplify right side
    807.30x = 535,224.55
  5. Step 5: Solve for x
    x = 535,224.55/807.30
  6. Step 6: Final answer
    x = 662.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.