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Finding the Fourth Proportional to 1,019.26, 1,529.50 and 442.14

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Solution

The fourth proportional to 1,019.26, 1,529.50 and 442.14 is: 663.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.26 : 1,529.50 = 442.14 : x
  2. Step 2: Convert to fraction form
    1,019.26/1,529.50 = 442.14/x
  3. Step 3: Cross multiply
    1,019.26x = 1,529.50 × 442.14
  4. Step 4: Simplify right side
    1,019.26x = 676,245.48
  5. Step 5: Solve for x
    x = 676,245.48/1,019.26
  6. Step 6: Final answer
    x = 663.47

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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.