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Finding the Fourth Proportional to 1,369.14, 2,053.98 and 503.52

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Solution

The fourth proportional to 1,369.14, 2,053.98 and 503.52 is: 755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.14 : 2,053.98 = 503.52 : x
  2. Step 2: Convert to fraction form
    1,369.14/2,053.98 = 503.52/x
  3. Step 3: Cross multiply
    1,369.14x = 2,053.98 × 503.52
  4. Step 4: Simplify right side
    1,369.14x = 1,034,220.01
  5. Step 5: Solve for x
    x = 1,034,220.01/1,369.14
  6. Step 6: Final answer
    x = 755.38

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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.