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Finding the Fourth Proportional to 849.70, 1,275.41 and 503.38

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Solution

The fourth proportional to 849.70, 1,275.41 and 503.38 is: 755.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.70 : 1,275.41 = 503.38 : x
  2. Step 2: Convert to fraction form
    849.70/1,275.41 = 503.38/x
  3. Step 3: Cross multiply
    849.70x = 1,275.41 × 503.38
  4. Step 4: Simplify right side
    849.70x = 642,015.89
  5. Step 5: Solve for x
    x = 642,015.89/849.70
  6. Step 6: Final answer
    x = 755.58

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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.