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Finding the Fourth Proportional to 1,317.96, 1,977.30 and 452.16

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Solution

The fourth proportional to 1,317.96, 1,977.30 and 452.16 is: 678.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.96 : 1,977.30 = 452.16 : x
  2. Step 2: Convert to fraction form
    1,317.96/1,977.30 = 452.16/x
  3. Step 3: Cross multiply
    1,317.96x = 1,977.30 × 452.16
  4. Step 4: Simplify right side
    1,317.96x = 894,055.97
  5. Step 5: Solve for x
    x = 894,055.97/1,317.96
  6. Step 6: Final answer
    x = 678.36

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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.