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Finding the Fourth Proportional to 1,702.70, 2,551.99 and 776.99

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Solution

The fourth proportional to 1,702.70, 2,551.99 and 776.99 is: 1,164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.70 : 2,551.99 = 776.99 : x
  2. Step 2: Convert to fraction form
    1,702.70/2,551.99 = 776.99/x
  3. Step 3: Cross multiply
    1,702.70x = 2,551.99 × 776.99
  4. Step 4: Simplify right side
    1,702.70x = 1,982,870.71
  5. Step 5: Solve for x
    x = 1,982,870.71/1,702.70
  6. Step 6: Final answer
    x = 1,164.54

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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.