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Finding the Fourth Proportional to 1,411.07, 2,116.83 and 436.97

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Solution

The fourth proportional to 1,411.07, 2,116.83 and 436.97 is: 655.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.07 : 2,116.83 = 436.97 : x
  2. Step 2: Convert to fraction form
    1,411.07/2,116.83 = 436.97/x
  3. Step 3: Cross multiply
    1,411.07x = 2,116.83 × 436.97
  4. Step 4: Simplify right side
    1,411.07x = 924,991.21
  5. Step 5: Solve for x
    x = 924,991.21/1,411.07
  6. Step 6: Final answer
    x = 655.53

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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.