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Finding the Fourth Proportional to 860.29, 1,288.91 and 705.98

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Solution

The fourth proportional to 860.29, 1,288.91 and 705.98 is: 1,057.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.29 : 1,288.91 = 705.98 : x
  2. Step 2: Convert to fraction form
    860.29/1,288.91 = 705.98/x
  3. Step 3: Cross multiply
    860.29x = 1,288.91 × 705.98
  4. Step 4: Simplify right side
    860.29x = 909,949.67
  5. Step 5: Solve for x
    x = 909,949.67/860.29
  6. Step 6: Final answer
    x = 1,057.73

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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.