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Finding the Fourth Proportional to 1,703.70, 2,553.48 and 778

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Solution

The fourth proportional to 1,703.70, 2,553.48 and 778 is: 1,166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.70 : 2,553.48 = 778 : x
  2. Step 2: Convert to fraction form
    1,703.70/2,553.48 = 778/x
  3. Step 3: Cross multiply
    1,703.70x = 2,553.48 × 778
  4. Step 4: Simplify right side
    1,703.70x = 1,986,607.44
  5. Step 5: Solve for x
    x = 1,986,607.44/1,703.70
  6. Step 6: Final answer
    x = 1,166.05

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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.