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Finding the Fourth Proportional to 1,000.02, 1,498.77 and 567.42

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Solution

The fourth proportional to 1,000.02, 1,498.77 and 567.42 is: 850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.02 : 1,498.77 = 567.42 : x
  2. Step 2: Convert to fraction form
    1,000.02/1,498.77 = 567.42/x
  3. Step 3: Cross multiply
    1,000.02x = 1,498.77 × 567.42
  4. Step 4: Simplify right side
    1,000.02x = 850,432.07
  5. Step 5: Solve for x
    x = 850,432.07/1,000.02
  6. Step 6: Final answer
    x = 850.42

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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.