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Finding the Fourth Proportional to 1,317.13, 1,975.98 and 451.46

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Solution

The fourth proportional to 1,317.13, 1,975.98 and 451.46 is: 677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.13 : 1,975.98 = 451.46 : x
  2. Step 2: Convert to fraction form
    1,317.13/1,975.98 = 451.46/x
  3. Step 3: Cross multiply
    1,317.13x = 1,975.98 × 451.46
  4. Step 4: Simplify right side
    1,317.13x = 892,075.93
  5. Step 5: Solve for x
    x = 892,075.93/1,317.13
  6. Step 6: Final answer
    x = 677.29

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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.