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Finding the Fourth Proportional to 1,142, 1,575.36 and 768.34

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Solution

The fourth proportional to 1,142, 1,575.36 and 768.34 is: 1,059.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142 : 1,575.36 = 768.34 : x
  2. Step 2: Convert to fraction form
    1,142/1,575.36 = 768.34/x
  3. Step 3: Cross multiply
    1,142x = 1,575.36 × 768.34
  4. Step 4: Simplify right side
    1,142x = 1,210,412.10
  5. Step 5: Solve for x
    x = 1,210,412.10/1,142
  6. Step 6: Final answer
    x = 1,059.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.