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Finding the Fourth Proportional to 1,019.45, 1,528.45 and 426.45

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Solution

The fourth proportional to 1,019.45, 1,528.45 and 426.45 is: 639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.45 : 1,528.45 = 426.45 : x
  2. Step 2: Convert to fraction form
    1,019.45/1,528.45 = 426.45/x
  3. Step 3: Cross multiply
    1,019.45x = 1,528.45 × 426.45
  4. Step 4: Simplify right side
    1,019.45x = 651,814.57
  5. Step 5: Solve for x
    x = 651,814.57/1,019.45
  6. Step 6: Final answer
    x = 639.38

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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.