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Finding the Fourth Proportional to 1,526.73, 2,106.76 and 863.43

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Solution

The fourth proportional to 1,526.73, 2,106.76 and 863.43 is: 1,191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.73 : 2,106.76 = 863.43 : x
  2. Step 2: Convert to fraction form
    1,526.73/2,106.76 = 863.43/x
  3. Step 3: Cross multiply
    1,526.73x = 2,106.76 × 863.43
  4. Step 4: Simplify right side
    1,526.73x = 1,819,039.79
  5. Step 5: Solve for x
    x = 1,819,039.79/1,526.73
  6. Step 6: Final answer
    x = 1,191.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.