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Finding the Fourth Proportional to 1,008, 1,510.38 and 520.44

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Solution

The fourth proportional to 1,008, 1,510.38 and 520.44 is: 779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008 : 1,510.38 = 520.44 : x
  2. Step 2: Convert to fraction form
    1,008/1,510.38 = 520.44/x
  3. Step 3: Cross multiply
    1,008x = 1,510.38 × 520.44
  4. Step 4: Simplify right side
    1,008x = 786,062.17
  5. Step 5: Solve for x
    x = 786,062.17/1,008
  6. Step 6: Final answer
    x = 779.82

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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.