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Finding the Fourth Proportional to 1,203.58, 1,660.87 and 706.31

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Solution

The fourth proportional to 1,203.58, 1,660.87 and 706.31 is: 974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.58 : 1,660.87 = 706.31 : x
  2. Step 2: Convert to fraction form
    1,203.58/1,660.87 = 706.31/x
  3. Step 3: Cross multiply
    1,203.58x = 1,660.87 × 706.31
  4. Step 4: Simplify right side
    1,203.58x = 1,173,089.09
  5. Step 5: Solve for x
    x = 1,173,089.09/1,203.58
  6. Step 6: Final answer
    x = 974.67

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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.