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Finding the Fourth Proportional to 860.52, 1,284.81 and 706.07

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Solution

The fourth proportional to 860.52, 1,284.81 and 706.07 is: 1,054.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.52 : 1,284.81 = 706.07 : x
  2. Step 2: Convert to fraction form
    860.52/1,284.81 = 706.07/x
  3. Step 3: Cross multiply
    860.52x = 1,284.81 × 706.07
  4. Step 4: Simplify right side
    860.52x = 907,163.11
  5. Step 5: Solve for x
    x = 907,163.11/860.52
  6. Step 6: Final answer
    x = 1,054.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.