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Finding the Fourth Proportional to 1,019.80, 1,529.68 and 289.36

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Solution

The fourth proportional to 1,019.80, 1,529.68 and 289.36 is: 434.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.80 : 1,529.68 = 289.36 : x
  2. Step 2: Convert to fraction form
    1,019.80/1,529.68 = 289.36/x
  3. Step 3: Cross multiply
    1,019.80x = 1,529.68 × 289.36
  4. Step 4: Simplify right side
    1,019.80x = 442,628.20
  5. Step 5: Solve for x
    x = 442,628.20/1,019.80
  6. Step 6: Final answer
    x = 434.03

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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.