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Finding the Fourth Proportional to 1,062.92, 1,592.94 and 514.01

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Solution

The fourth proportional to 1,062.92, 1,592.94 and 514.01 is: 770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.92 : 1,592.94 = 514.01 : x
  2. Step 2: Convert to fraction form
    1,062.92/1,592.94 = 514.01/x
  3. Step 3: Cross multiply
    1,062.92x = 1,592.94 × 514.01
  4. Step 4: Simplify right side
    1,062.92x = 818,787.09
  5. Step 5: Solve for x
    x = 818,787.09/1,062.92
  6. Step 6: Final answer
    x = 770.32

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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.