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Finding the Fourth Proportional to 1,000.02, 1,500.04 and 512.54

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Solution

The fourth proportional to 1,000.02, 1,500.04 and 512.54 is: 768.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.02 : 1,500.04 = 512.54 : x
  2. Step 2: Convert to fraction form
    1,000.02/1,500.04 = 512.54/x
  3. Step 3: Cross multiply
    1,000.02x = 1,500.04 × 512.54
  4. Step 4: Simplify right side
    1,000.02x = 768,830.50
  5. Step 5: Solve for x
    x = 768,830.50/1,000.02
  6. Step 6: Final answer
    x = 768.82

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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.