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Finding the Fourth Proportional to 1,142.96, 1,714.80 and 704.24

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Solution

The fourth proportional to 1,142.96, 1,714.80 and 704.24 is: 1,056.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.96 : 1,714.80 = 704.24 : x
  2. Step 2: Convert to fraction form
    1,142.96/1,714.80 = 704.24/x
  3. Step 3: Cross multiply
    1,142.96x = 1,714.80 × 704.24
  4. Step 4: Simplify right side
    1,142.96x = 1,207,630.75
  5. Step 5: Solve for x
    x = 1,207,630.75/1,142.96
  6. Step 6: Final answer
    x = 1,056.58

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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.