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Finding the Fourth Proportional to 1,235.76, 1,705.23 and 711.69

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Solution

The fourth proportional to 1,235.76, 1,705.23 and 711.69 is: 982.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.76 : 1,705.23 = 711.69 : x
  2. Step 2: Convert to fraction form
    1,235.76/1,705.23 = 711.69/x
  3. Step 3: Cross multiply
    1,235.76x = 1,705.23 × 711.69
  4. Step 4: Simplify right side
    1,235.76x = 1,213,595.14
  5. Step 5: Solve for x
    x = 1,213,595.14/1,235.76
  6. Step 6: Final answer
    x = 982.06

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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.