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Finding the Fourth Proportional to 1,317.61, 1,976.51 and 452.53

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Solution

The fourth proportional to 1,317.61, 1,976.51 and 452.53 is: 678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.61 : 1,976.51 = 452.53 : x
  2. Step 2: Convert to fraction form
    1,317.61/1,976.51 = 452.53/x
  3. Step 3: Cross multiply
    1,317.61x = 1,976.51 × 452.53
  4. Step 4: Simplify right side
    1,317.61x = 894,430.07
  5. Step 5: Solve for x
    x = 894,430.07/1,317.61
  6. Step 6: Final answer
    x = 678.83

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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.