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Finding the Fourth Proportional to 1,019.19, 1,528.97 and 442.47

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Solution

The fourth proportional to 1,019.19, 1,528.97 and 442.47 is: 663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.19 : 1,528.97 = 442.47 : x
  2. Step 2: Convert to fraction form
    1,019.19/1,528.97 = 442.47/x
  3. Step 3: Cross multiply
    1,019.19x = 1,528.97 × 442.47
  4. Step 4: Simplify right side
    1,019.19x = 676,521.14
  5. Step 5: Solve for x
    x = 676,521.14/1,019.19
  6. Step 6: Final answer
    x = 663.78

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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.