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Finding the Fourth Proportional to 1,365.15, 2,047.08 and 817.20

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Solution

The fourth proportional to 1,365.15, 2,047.08 and 817.20 is: 1,225.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.15 : 2,047.08 = 817.20 : x
  2. Step 2: Convert to fraction form
    1,365.15/2,047.08 = 817.20/x
  3. Step 3: Cross multiply
    1,365.15x = 2,047.08 × 817.20
  4. Step 4: Simplify right side
    1,365.15x = 1,672,873.78
  5. Step 5: Solve for x
    x = 1,672,873.78/1,365.15
  6. Step 6: Final answer
    x = 1,225.41

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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.