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Finding the Fourth Proportional to 1,362.44, 2,044.16 and 777.08

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Solution

The fourth proportional to 1,362.44, 2,044.16 and 777.08 is: 1,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.44 : 2,044.16 = 777.08 : x
  2. Step 2: Convert to fraction form
    1,362.44/2,044.16 = 777.08/x
  3. Step 3: Cross multiply
    1,362.44x = 2,044.16 × 777.08
  4. Step 4: Simplify right side
    1,362.44x = 1,588,461.75
  5. Step 5: Solve for x
    x = 1,588,461.75/1,362.44
  6. Step 6: Final answer
    x = 1,165.90

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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.