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Finding the Fourth Proportional to 1,235.58, 1,704.83 and 738.15

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Solution

The fourth proportional to 1,235.58, 1,704.83 and 738.15 is: 1,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.58 : 1,704.83 = 738.15 : x
  2. Step 2: Convert to fraction form
    1,235.58/1,704.83 = 738.15/x
  3. Step 3: Cross multiply
    1,235.58x = 1,704.83 × 738.15
  4. Step 4: Simplify right side
    1,235.58x = 1,258,420.26
  5. Step 5: Solve for x
    x = 1,258,420.26/1,235.58
  6. Step 6: Final answer
    x = 1,018.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.