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Finding the Fourth Proportional to 1,200.18, 1,655.73 and 807.60

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Solution

The fourth proportional to 1,200.18, 1,655.73 and 807.60 is: 1,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.18 : 1,655.73 = 807.60 : x
  2. Step 2: Convert to fraction form
    1,200.18/1,655.73 = 807.60/x
  3. Step 3: Cross multiply
    1,200.18x = 1,655.73 × 807.60
  4. Step 4: Simplify right side
    1,200.18x = 1,337,167.55
  5. Step 5: Solve for x
    x = 1,337,167.55/1,200.18
  6. Step 6: Final answer
    x = 1,114.14

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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.