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Finding the Fourth Proportional to 860.94, 1,291.64 and 374.06

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Solution

The fourth proportional to 860.94, 1,291.64 and 374.06 is: 561.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.94 : 1,291.64 = 374.06 : x
  2. Step 2: Convert to fraction form
    860.94/1,291.64 = 374.06/x
  3. Step 3: Cross multiply
    860.94x = 1,291.64 × 374.06
  4. Step 4: Simplify right side
    860.94x = 483,150.86
  5. Step 5: Solve for x
    x = 483,150.86/860.94
  6. Step 6: Final answer
    x = 561.19

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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.