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Finding the Fourth Proportional to 1,318.16, 1,977.96 and 538.58

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Solution

The fourth proportional to 1,318.16, 1,977.96 and 538.58 is: 808.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.16 : 1,977.96 = 538.58 : x
  2. Step 2: Convert to fraction form
    1,318.16/1,977.96 = 538.58/x
  3. Step 3: Cross multiply
    1,318.16x = 1,977.96 × 538.58
  4. Step 4: Simplify right side
    1,318.16x = 1,065,289.70
  5. Step 5: Solve for x
    x = 1,065,289.70/1,318.16
  6. Step 6: Final answer
    x = 808.16

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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.