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Finding the Fourth Proportional to 1,369.20, 2,053.60 and 503.32

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Solution

The fourth proportional to 1,369.20, 2,053.60 and 503.32 is: 754.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.20 : 2,053.60 = 503.32 : x
  2. Step 2: Convert to fraction form
    1,369.20/2,053.60 = 503.32/x
  3. Step 3: Cross multiply
    1,369.20x = 2,053.60 × 503.32
  4. Step 4: Simplify right side
    1,369.20x = 1,033,617.95
  5. Step 5: Solve for x
    x = 1,033,617.95/1,369.20
  6. Step 6: Final answer
    x = 754.91

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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.