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Finding the Fourth Proportional to 1,158.32, 1,738.16 and 696.98

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Solution

The fourth proportional to 1,158.32, 1,738.16 and 696.98 is: 1,045.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.32 : 1,738.16 = 696.98 : x
  2. Step 2: Convert to fraction form
    1,158.32/1,738.16 = 696.98/x
  3. Step 3: Cross multiply
    1,158.32x = 1,738.16 × 696.98
  4. Step 4: Simplify right side
    1,158.32x = 1,211,450.58
  5. Step 5: Solve for x
    x = 1,211,450.58/1,158.32
  6. Step 6: Final answer
    x = 1,045.87

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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.