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Finding the Fourth Proportional to 1,019.74, 1,529.14 and 403.34

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Solution

The fourth proportional to 1,019.74, 1,529.14 and 403.34 is: 604.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.74 : 1,529.14 = 403.34 : x
  2. Step 2: Convert to fraction form
    1,019.74/1,529.14 = 403.34/x
  3. Step 3: Cross multiply
    1,019.74x = 1,529.14 × 403.34
  4. Step 4: Simplify right side
    1,019.74x = 616,763.33
  5. Step 5: Solve for x
    x = 616,763.33/1,019.74
  6. Step 6: Final answer
    x = 604.82

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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.