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Finding the Fourth Proportional to 1,509.12, 2,264.22 and 643.50

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Solution

The fourth proportional to 1,509.12, 2,264.22 and 643.50 is: 965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.12 : 2,264.22 = 643.50 : x
  2. Step 2: Convert to fraction form
    1,509.12/2,264.22 = 643.50/x
  3. Step 3: Cross multiply
    1,509.12x = 2,264.22 × 643.50
  4. Step 4: Simplify right side
    1,509.12x = 1,457,025.57
  5. Step 5: Solve for x
    x = 1,457,025.57/1,509.12
  6. Step 6: Final answer
    x = 965.48

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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.