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Finding the Fourth Proportional to 1,197.03, 1,795.49 and 319.53

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Solution

The fourth proportional to 1,197.03, 1,795.49 and 319.53 is: 479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.03 : 1,795.49 = 319.53 : x
  2. Step 2: Convert to fraction form
    1,197.03/1,795.49 = 319.53/x
  3. Step 3: Cross multiply
    1,197.03x = 1,795.49 × 319.53
  4. Step 4: Simplify right side
    1,197.03x = 573,711.32
  5. Step 5: Solve for x
    x = 573,711.32/1,197.03
  6. Step 6: Final answer
    x = 479.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.