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Finding the Fourth Proportional to 1,041.94, 1,562.91 and 659.62

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Solution

The fourth proportional to 1,041.94, 1,562.91 and 659.62 is: 989.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.94 : 1,562.91 = 659.62 : x
  2. Step 2: Convert to fraction form
    1,041.94/1,562.91 = 659.62/x
  3. Step 3: Cross multiply
    1,041.94x = 1,562.91 × 659.62
  4. Step 4: Simplify right side
    1,041.94x = 1,030,926.69
  5. Step 5: Solve for x
    x = 1,030,926.69/1,041.94
  6. Step 6: Final answer
    x = 989.43

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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.