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Finding the Fourth Proportional to 1,235.77, 1,705.29 and 676.13

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Solution

The fourth proportional to 1,235.77, 1,705.29 and 676.13 is: 933.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.77 : 1,705.29 = 676.13 : x
  2. Step 2: Convert to fraction form
    1,235.77/1,705.29 = 676.13/x
  3. Step 3: Cross multiply
    1,235.77x = 1,705.29 × 676.13
  4. Step 4: Simplify right side
    1,235.77x = 1,152,992.83
  5. Step 5: Solve for x
    x = 1,152,992.83/1,235.77
  6. Step 6: Final answer
    x = 933.02

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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.