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Finding the Fourth Proportional to 1,019.53, 1,529.24 and 289.07

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Solution

The fourth proportional to 1,019.53, 1,529.24 and 289.07 is: 433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.53 : 1,529.24 = 289.07 : x
  2. Step 2: Convert to fraction form
    1,019.53/1,529.24 = 289.07/x
  3. Step 3: Cross multiply
    1,019.53x = 1,529.24 × 289.07
  4. Step 4: Simplify right side
    1,019.53x = 442,048.32
  5. Step 5: Solve for x
    x = 442,048.32/1,019.53
  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.