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Finding the Fourth Proportional to 1,002.76, 1,504.12 and 569.94

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Solution

The fourth proportional to 1,002.76, 1,504.12 and 569.94 is: 854.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.76 : 1,504.12 = 569.94 : x
  2. Step 2: Convert to fraction form
    1,002.76/1,504.12 = 569.94/x
  3. Step 3: Cross multiply
    1,002.76x = 1,504.12 × 569.94
  4. Step 4: Simplify right side
    1,002.76x = 857,258.15
  5. Step 5: Solve for x
    x = 857,258.15/1,002.76
  6. Step 6: Final answer
    x = 854.90

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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.