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Finding the Fourth Proportional to 945.19, 1,417.77 and 251.86

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Solution

The fourth proportional to 945.19, 1,417.77 and 251.86 is: 377.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.19 : 1,417.77 = 251.86 : x
  2. Step 2: Convert to fraction form
    945.19/1,417.77 = 251.86/x
  3. Step 3: Cross multiply
    945.19x = 1,417.77 × 251.86
  4. Step 4: Simplify right side
    945.19x = 357,079.55
  5. Step 5: Solve for x
    x = 357,079.55/945.19
  6. Step 6: Final answer
    x = 377.79

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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.