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Finding the Fourth Proportional to 1,019.70, 1,529.64 and 289.26

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Solution

The fourth proportional to 1,019.70, 1,529.64 and 289.26 is: 433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.70 : 1,529.64 = 289.26 : x
  2. Step 2: Convert to fraction form
    1,019.70/1,529.64 = 289.26/x
  3. Step 3: Cross multiply
    1,019.70x = 1,529.64 × 289.26
  4. Step 4: Simplify right side
    1,019.70x = 442,463.67
  5. Step 5: Solve for x
    x = 442,463.67/1,019.70
  6. Step 6: Final answer
    x = 433.92

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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.