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Finding the Fourth Proportional to 1,119.12, 1,675.17 and 706.83

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Solution

The fourth proportional to 1,119.12, 1,675.17 and 706.83 is: 1,058.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.12 : 1,675.17 = 706.83 : x
  2. Step 2: Convert to fraction form
    1,119.12/1,675.17 = 706.83/x
  3. Step 3: Cross multiply
    1,119.12x = 1,675.17 × 706.83
  4. Step 4: Simplify right side
    1,119.12x = 1,184,060.41
  5. Step 5: Solve for x
    x = 1,184,060.41/1,119.12
  6. Step 6: Final answer
    x = 1,058.03

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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.