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Finding the Fourth Proportional to 1,173.03, 1,618.81 and 649.07

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Solution

The fourth proportional to 1,173.03, 1,618.81 and 649.07 is: 895.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.03 : 1,618.81 = 649.07 : x
  2. Step 2: Convert to fraction form
    1,173.03/1,618.81 = 649.07/x
  3. Step 3: Cross multiply
    1,173.03x = 1,618.81 × 649.07
  4. Step 4: Simplify right side
    1,173.03x = 1,050,717.76
  5. Step 5: Solve for x
    x = 1,050,717.76/1,173.03
  6. Step 6: Final answer
    x = 895.73

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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.