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Finding the Fourth Proportional to 1,097.80, 1,643.47 and 576.56

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Solution

The fourth proportional to 1,097.80, 1,643.47 and 576.56 is: 863.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.80 : 1,643.47 = 576.56 : x
  2. Step 2: Convert to fraction form
    1,097.80/1,643.47 = 576.56/x
  3. Step 3: Cross multiply
    1,097.80x = 1,643.47 × 576.56
  4. Step 4: Simplify right side
    1,097.80x = 947,559.06
  5. Step 5: Solve for x
    x = 947,559.06/1,097.80
  6. Step 6: Final answer
    x = 863.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.