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Finding the Fourth Proportional to 1,495.64, 2,243.43 and 469.64

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Solution

The fourth proportional to 1,495.64, 2,243.43 and 469.64 is: 704.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.64 : 2,243.43 = 469.64 : x
  2. Step 2: Convert to fraction form
    1,495.64/2,243.43 = 469.64/x
  3. Step 3: Cross multiply
    1,495.64x = 2,243.43 × 469.64
  4. Step 4: Simplify right side
    1,495.64x = 1,053,604.47
  5. Step 5: Solve for x
    x = 1,053,604.47/1,495.64
  6. Step 6: Final answer
    x = 704.45

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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.