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Finding the Fourth Proportional to 1,062.09, 1,592.29 and 514.13

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Solution

The fourth proportional to 1,062.09, 1,592.29 and 514.13 is: 770.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.09 : 1,592.29 = 514.13 : x
  2. Step 2: Convert to fraction form
    1,062.09/1,592.29 = 514.13/x
  3. Step 3: Cross multiply
    1,062.09x = 1,592.29 × 514.13
  4. Step 4: Simplify right side
    1,062.09x = 818,644.06
  5. Step 5: Solve for x
    x = 818,644.06/1,062.09
  6. Step 6: Final answer
    x = 770.79

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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.