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Finding the Fourth Proportional to 1,317.63, 1,976.78 and 451.94

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Solution

The fourth proportional to 1,317.63, 1,976.78 and 451.94 is: 678.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.63 : 1,976.78 = 451.94 : x
  2. Step 2: Convert to fraction form
    1,317.63/1,976.78 = 451.94/x
  3. Step 3: Cross multiply
    1,317.63x = 1,976.78 × 451.94
  4. Step 4: Simplify right side
    1,317.63x = 893,385.95
  5. Step 5: Solve for x
    x = 893,385.95/1,317.63
  6. Step 6: Final answer
    x = 678.02

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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.