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Finding the Fourth Proportional to 1,019.95, 1,529.92 and 289.43

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Solution

The fourth proportional to 1,019.95, 1,529.92 and 289.43 is: 434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.95 : 1,529.92 = 289.43 : x
  2. Step 2: Convert to fraction form
    1,019.95/1,529.92 = 289.43/x
  3. Step 3: Cross multiply
    1,019.95x = 1,529.92 × 289.43
  4. Step 4: Simplify right side
    1,019.95x = 442,800.20
  5. Step 5: Solve for x
    x = 442,800.20/1,019.95
  6. Step 6: Final answer
    x = 434.14

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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.