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Finding the Fourth Proportional to 1,197.15, 1,796.06 and 503.45

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Solution

The fourth proportional to 1,197.15, 1,796.06 and 503.45 is: 755.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.15 : 1,796.06 = 503.45 : x
  2. Step 2: Convert to fraction form
    1,197.15/1,796.06 = 503.45/x
  3. Step 3: Cross multiply
    1,197.15x = 1,796.06 × 503.45
  4. Step 4: Simplify right side
    1,197.15x = 904,226.41
  5. Step 5: Solve for x
    x = 904,226.41/1,197.15
  6. Step 6: Final answer
    x = 755.32

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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.