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Finding the Fourth Proportional to 734.98, 1,093.02 and 711.90

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Solution

The fourth proportional to 734.98, 1,093.02 and 711.90 is: 1,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.98 : 1,093.02 = 711.90 : x
  2. Step 2: Convert to fraction form
    734.98/1,093.02 = 711.90/x
  3. Step 3: Cross multiply
    734.98x = 1,093.02 × 711.90
  4. Step 4: Simplify right side
    734.98x = 778,120.94
  5. Step 5: Solve for x
    x = 778,120.94/734.98
  6. Step 6: Final answer
    x = 1,058.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.