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Finding the Fourth Proportional to 1,061.28, 1,592.26 and 513.39

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Solution

The fourth proportional to 1,061.28, 1,592.26 and 513.39 is: 770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.28 : 1,592.26 = 513.39 : x
  2. Step 2: Convert to fraction form
    1,061.28/1,592.26 = 513.39/x
  3. Step 3: Cross multiply
    1,061.28x = 1,592.26 × 513.39
  4. Step 4: Simplify right side
    1,061.28x = 817,446.09
  5. Step 5: Solve for x
    x = 817,446.09/1,061.28
  6. Step 6: Final answer
    x = 770.25

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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.