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Finding the Fourth Proportional to 1,006.02, 1,509.03 and 520.02

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Solution

The fourth proportional to 1,006.02, 1,509.03 and 520.02 is: 780.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.02 : 1,509.03 = 520.02 : x
  2. Step 2: Convert to fraction form
    1,006.02/1,509.03 = 520.02/x
  3. Step 3: Cross multiply
    1,006.02x = 1,509.03 × 520.02
  4. Step 4: Simplify right side
    1,006.02x = 784,725.78
  5. Step 5: Solve for x
    x = 784,725.78/1,006.02
  6. Step 6: Final answer
    x = 780.03

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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.