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Finding the Fourth Proportional to 1,073.62, 1,609.50 and 457.23

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Solution

The fourth proportional to 1,073.62, 1,609.50 and 457.23 is: 685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.62 : 1,609.50 = 457.23 : x
  2. Step 2: Convert to fraction form
    1,073.62/1,609.50 = 457.23/x
  3. Step 3: Cross multiply
    1,073.62x = 1,609.50 × 457.23
  4. Step 4: Simplify right side
    1,073.62x = 735,911.69
  5. Step 5: Solve for x
    x = 735,911.69/1,073.62
  6. Step 6: Final answer
    x = 685.45

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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.