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Finding the Fourth Proportional to 857.70, 1,284.84 and 694.98

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Solution

The fourth proportional to 857.70, 1,284.84 and 694.98 is: 1,041.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.70 : 1,284.84 = 694.98 : x
  2. Step 2: Convert to fraction form
    857.70/1,284.84 = 694.98/x
  3. Step 3: Cross multiply
    857.70x = 1,284.84 × 694.98
  4. Step 4: Simplify right side
    857.70x = 892,938.10
  5. Step 5: Solve for x
    x = 892,938.10/857.70
  6. Step 6: Final answer
    x = 1,041.08

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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.