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Finding the Fourth Proportional to 860.16, 1,290.18 and 427.32

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Solution

The fourth proportional to 860.16, 1,290.18 and 427.32 is: 640.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.16 : 1,290.18 = 427.32 : x
  2. Step 2: Convert to fraction form
    860.16/1,290.18 = 427.32/x
  3. Step 3: Cross multiply
    860.16x = 1,290.18 × 427.32
  4. Step 4: Simplify right side
    860.16x = 551,319.72
  5. Step 5: Solve for x
    x = 551,319.72/860.16
  6. Step 6: Final answer
    x = 640.95

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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.