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Finding the Fourth Proportional to 1,701.95, 2,553.64 and 714.98

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Solution

The fourth proportional to 1,701.95, 2,553.64 and 714.98 is: 1,072.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.95 : 2,553.64 = 714.98 : x
  2. Step 2: Convert to fraction form
    1,701.95/2,553.64 = 714.98/x
  3. Step 3: Cross multiply
    1,701.95x = 2,553.64 × 714.98
  4. Step 4: Simplify right side
    1,701.95x = 1,825,806.12
  5. Step 5: Solve for x
    x = 1,825,806.12/1,701.95
  6. Step 6: Final answer
    x = 1,072.78

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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.