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Finding the Fourth Proportional to 1,317.62, 1,977.63 and 701.85

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Solution

The fourth proportional to 1,317.62, 1,977.63 and 701.85 is: 1,053.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.62 : 1,977.63 = 701.85 : x
  2. Step 2: Convert to fraction form
    1,317.62/1,977.63 = 701.85/x
  3. Step 3: Cross multiply
    1,317.62x = 1,977.63 × 701.85
  4. Step 4: Simplify right side
    1,317.62x = 1,387,999.62
  5. Step 5: Solve for x
    x = 1,387,999.62/1,317.62
  6. Step 6: Final answer
    x = 1,053.41

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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.