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Finding the Fourth Proportional to 1,445.13, 2,165.84 and 704.91

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Solution

The fourth proportional to 1,445.13, 2,165.84 and 704.91 is: 1,056.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.13 : 2,165.84 = 704.91 : x
  2. Step 2: Convert to fraction form
    1,445.13/2,165.84 = 704.91/x
  3. Step 3: Cross multiply
    1,445.13x = 2,165.84 × 704.91
  4. Step 4: Simplify right side
    1,445.13x = 1,526,722.27
  5. Step 5: Solve for x
    x = 1,526,722.27/1,445.13
  6. Step 6: Final answer
    x = 1,056.46

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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.