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Finding the Fourth Proportional to 1,317.15, 1,977.32 and 615.03

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Solution

The fourth proportional to 1,317.15, 1,977.32 and 615.03 is: 923.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.15 : 1,977.32 = 615.03 : x
  2. Step 2: Convert to fraction form
    1,317.15/1,977.32 = 615.03/x
  3. Step 3: Cross multiply
    1,317.15x = 1,977.32 × 615.03
  4. Step 4: Simplify right side
    1,317.15x = 1,216,112.66
  5. Step 5: Solve for x
    x = 1,216,112.66/1,317.15
  6. Step 6: Final answer
    x = 923.29

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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.