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Finding the Fourth Proportional to 1,318.25, 1,973.27 and 830.27

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Solution

The fourth proportional to 1,318.25, 1,973.27 and 830.27 is: 1,242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.25 : 1,973.27 = 830.27 : x
  2. Step 2: Convert to fraction form
    1,318.25/1,973.27 = 830.27/x
  3. Step 3: Cross multiply
    1,318.25x = 1,973.27 × 830.27
  4. Step 4: Simplify right side
    1,318.25x = 1,638,349.74
  5. Step 5: Solve for x
    x = 1,638,349.74/1,318.25
  6. Step 6: Final answer
    x = 1,242.82

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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.