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Finding the Fourth Proportional to 1,509.36, 2,264.10 and 469.38

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Solution

The fourth proportional to 1,509.36, 2,264.10 and 469.38 is: 704.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.36 : 2,264.10 = 469.38 : x
  2. Step 2: Convert to fraction form
    1,509.36/2,264.10 = 469.38/x
  3. Step 3: Cross multiply
    1,509.36x = 2,264.10 × 469.38
  4. Step 4: Simplify right side
    1,509.36x = 1,062,723.26
  5. Step 5: Solve for x
    x = 1,062,723.26/1,509.36
  6. Step 6: Final answer
    x = 704.09

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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.