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Finding the Fourth Proportional to 1,097.46, 1,643.67 and 711.54

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Solution

The fourth proportional to 1,097.46, 1,643.67 and 711.54 is: 1,065.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.46 : 1,643.67 = 711.54 : x
  2. Step 2: Convert to fraction form
    1,097.46/1,643.67 = 711.54/x
  3. Step 3: Cross multiply
    1,097.46x = 1,643.67 × 711.54
  4. Step 4: Simplify right side
    1,097.46x = 1,169,536.95
  5. Step 5: Solve for x
    x = 1,169,536.95/1,097.46
  6. Step 6: Final answer
    x = 1,065.68

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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.