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Finding the Fourth Proportional to 1,000.74, 1,498.68 and 568.20

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Solution

The fourth proportional to 1,000.74, 1,498.68 and 568.20 is: 850.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.74 : 1,498.68 = 568.20 : x
  2. Step 2: Convert to fraction form
    1,000.74/1,498.68 = 568.20/x
  3. Step 3: Cross multiply
    1,000.74x = 1,498.68 × 568.20
  4. Step 4: Simplify right side
    1,000.74x = 851,549.98
  5. Step 5: Solve for x
    x = 851,549.98/1,000.74
  6. Step 6: Final answer
    x = 850.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.