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Finding the Fourth Proportional to 1,019.57, 1,529.36 and 289.05

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Solution

The fourth proportional to 1,019.57, 1,529.36 and 289.05 is: 433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.57 : 1,529.36 = 289.05 : x
  2. Step 2: Convert to fraction form
    1,019.57/1,529.36 = 289.05/x
  3. Step 3: Cross multiply
    1,019.57x = 1,529.36 × 289.05
  4. Step 4: Simplify right side
    1,019.57x = 442,063.20
  5. Step 5: Solve for x
    x = 442,063.20/1,019.57
  6. Step 6: Final answer
    x = 433.58

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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.