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Finding the Fourth Proportional to 860.16, 1,289.61 and 552.36

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Solution

The fourth proportional to 860.16, 1,289.61 and 552.36 is: 828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.16 : 1,289.61 = 552.36 : x
  2. Step 2: Convert to fraction form
    860.16/1,289.61 = 552.36/x
  3. Step 3: Cross multiply
    860.16x = 1,289.61 × 552.36
  4. Step 4: Simplify right side
    860.16x = 712,328.98
  5. Step 5: Solve for x
    x = 712,328.98/860.16
  6. Step 6: Final answer
    x = 828.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.