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Finding the Fourth Proportional to 1,702.41, 2,553.96 and 777.72

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Solution

The fourth proportional to 1,702.41, 2,553.96 and 777.72 is: 1,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.41 : 2,553.96 = 777.72 : x
  2. Step 2: Convert to fraction form
    1,702.41/2,553.96 = 777.72/x
  3. Step 3: Cross multiply
    1,702.41x = 2,553.96 × 777.72
  4. Step 4: Simplify right side
    1,702.41x = 1,986,265.77
  5. Step 5: Solve for x
    x = 1,986,265.77/1,702.41
  6. Step 6: Final answer
    x = 1,166.74

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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.