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Finding the Fourth Proportional to 1,317.85, 1,976.73 and 452.16

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Solution

The fourth proportional to 1,317.85, 1,976.73 and 452.16 is: 678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.85 : 1,976.73 = 452.16 : x
  2. Step 2: Convert to fraction form
    1,317.85/1,976.73 = 452.16/x
  3. Step 3: Cross multiply
    1,317.85x = 1,976.73 × 452.16
  4. Step 4: Simplify right side
    1,317.85x = 893,798.24
  5. Step 5: Solve for x
    x = 893,798.24/1,317.85
  6. Step 6: Final answer
    x = 678.22

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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.