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Finding the Fourth Proportional to 1,509.50, 2,264.06 and 584.43

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Solution

The fourth proportional to 1,509.50, 2,264.06 and 584.43 is: 876.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.50 : 2,264.06 = 584.43 : x
  2. Step 2: Convert to fraction form
    1,509.50/2,264.06 = 584.43/x
  3. Step 3: Cross multiply
    1,509.50x = 2,264.06 × 584.43
  4. Step 4: Simplify right side
    1,509.50x = 1,323,172.53
  5. Step 5: Solve for x
    x = 1,323,172.53/1,509.50
  6. Step 6: Final answer
    x = 876.56

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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.