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Finding the Fourth Proportional to 1,160.69, 1,598.24 and 1,003.03

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Solution

The fourth proportional to 1,160.69, 1,598.24 and 1,003.03 is: 1,381.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.69 : 1,598.24 = 1,003.03 : x
  2. Step 2: Convert to fraction form
    1,160.69/1,598.24 = 1,003.03/x
  3. Step 3: Cross multiply
    1,160.69x = 1,598.24 × 1,003.03
  4. Step 4: Simplify right side
    1,160.69x = 1,603,081.18
  5. Step 5: Solve for x
    x = 1,603,081.18/1,160.69
  6. Step 6: Final answer
    x = 1,381.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.