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Finding the Fourth Proportional to 1,173.02, 1,617.78 and 948.85

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Solution

The fourth proportional to 1,173.02, 1,617.78 and 948.85 is: 1,308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.02 : 1,617.78 = 948.85 : x
  2. Step 2: Convert to fraction form
    1,173.02/1,617.78 = 948.85/x
  3. Step 3: Cross multiply
    1,173.02x = 1,617.78 × 948.85
  4. Step 4: Simplify right side
    1,173.02x = 1,535,030.55
  5. Step 5: Solve for x
    x = 1,535,030.55/1,173.02
  6. Step 6: Final answer
    x = 1,308.61

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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.