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Finding the Fourth Proportional to 1,019.59, 1,529.19 and 289.14

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Solution

The fourth proportional to 1,019.59, 1,529.19 and 289.14 is: 433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.59 : 1,529.19 = 289.14 : x
  2. Step 2: Convert to fraction form
    1,019.59/1,529.19 = 289.14/x
  3. Step 3: Cross multiply
    1,019.59x = 1,529.19 × 289.14
  4. Step 4: Simplify right side
    1,019.59x = 442,150.00
  5. Step 5: Solve for x
    x = 442,150.00/1,019.59
  6. Step 6: Final answer
    x = 433.65

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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.