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Finding the Fourth Proportional to 1,337.02, 1,845.03 and 777.47

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Solution

The fourth proportional to 1,337.02, 1,845.03 and 777.47 is: 1,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.02 : 1,845.03 = 777.47 : x
  2. Step 2: Convert to fraction form
    1,337.02/1,845.03 = 777.47/x
  3. Step 3: Cross multiply
    1,337.02x = 1,845.03 × 777.47
  4. Step 4: Simplify right side
    1,337.02x = 1,434,446.25
  5. Step 5: Solve for x
    x = 1,434,446.25/1,337.02
  6. Step 6: Final answer
    x = 1,072.87

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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.