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Finding the Fourth Proportional to 1,235.99, 1,705.65 and 676.45

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Solution

The fourth proportional to 1,235.99, 1,705.65 and 676.45 is: 933.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.99 : 1,705.65 = 676.45 : x
  2. Step 2: Convert to fraction form
    1,235.99/1,705.65 = 676.45/x
  3. Step 3: Cross multiply
    1,235.99x = 1,705.65 × 676.45
  4. Step 4: Simplify right side
    1,235.99x = 1,153,786.94
  5. Step 5: Solve for x
    x = 1,153,786.94/1,235.99
  6. Step 6: Final answer
    x = 933.49

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