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Finding the Fourth Proportional to 1,019.58, 1,529.20 and 289.20

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Solution

The fourth proportional to 1,019.58, 1,529.20 and 289.20 is: 433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.58 : 1,529.20 = 289.20 : x
  2. Step 2: Convert to fraction form
    1,019.58/1,529.20 = 289.20/x
  3. Step 3: Cross multiply
    1,019.58x = 1,529.20 × 289.20
  4. Step 4: Simplify right side
    1,019.58x = 442,250.74
  5. Step 5: Solve for x
    x = 442,250.74/1,019.58
  6. Step 6: Final answer
    x = 433.76

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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.