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Finding the Fourth Proportional to 860.16, 1,187.40 and 664.32

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Solution

The fourth proportional to 860.16, 1,187.40 and 664.32 is: 917.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.16 : 1,187.40 = 664.32 : x
  2. Step 2: Convert to fraction form
    860.16/1,187.40 = 664.32/x
  3. Step 3: Cross multiply
    860.16x = 1,187.40 × 664.32
  4. Step 4: Simplify right side
    860.16x = 788,813.57
  5. Step 5: Solve for x
    x = 788,813.57/860.16
  6. Step 6: Final answer
    x = 917.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.