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Finding the Fourth Proportional to 1,019.25, 1,528.92 and 288.76

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Solution

The fourth proportional to 1,019.25, 1,528.92 and 288.76 is: 433.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.25 : 1,528.92 = 288.76 : x
  2. Step 2: Convert to fraction form
    1,019.25/1,528.92 = 288.76/x
  3. Step 3: Cross multiply
    1,019.25x = 1,528.92 × 288.76
  4. Step 4: Simplify right side
    1,019.25x = 441,490.94
  5. Step 5: Solve for x
    x = 441,490.94/1,019.25
  6. Step 6: Final answer
    x = 433.15

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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.