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Finding the Fourth Proportional to 1,105.07, 1,525.01 and 607.73

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Solution

The fourth proportional to 1,105.07, 1,525.01 and 607.73 is: 838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.07 : 1,525.01 = 607.73 : x
  2. Step 2: Convert to fraction form
    1,105.07/1,525.01 = 607.73/x
  3. Step 3: Cross multiply
    1,105.07x = 1,525.01 × 607.73
  4. Step 4: Simplify right side
    1,105.07x = 926,783.66
  5. Step 5: Solve for x
    x = 926,783.66/1,105.07
  6. Step 6: Final answer
    x = 838.67

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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.