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Finding the Fourth Proportional to 1,008.22, 1,509.07 and 520.60

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Solution

The fourth proportional to 1,008.22, 1,509.07 and 520.60 is: 779.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.22 : 1,509.07 = 520.60 : x
  2. Step 2: Convert to fraction form
    1,008.22/1,509.07 = 520.60/x
  3. Step 3: Cross multiply
    1,008.22x = 1,509.07 × 520.60
  4. Step 4: Simplify right side
    1,008.22x = 785,621.84
  5. Step 5: Solve for x
    x = 785,621.84/1,008.22
  6. Step 6: Final answer
    x = 779.22

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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.