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Finding the Fourth Proportional to 1,311.85, 1,968.00 and 478.96

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Solution

The fourth proportional to 1,311.85, 1,968.00 and 478.96 is: 718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.85 : 1,968.00 = 478.96 : x
  2. Step 2: Convert to fraction form
    1,311.85/1,968.00 = 478.96/x
  3. Step 3: Cross multiply
    1,311.85x = 1,968.00 × 478.96
  4. Step 4: Simplify right side
    1,311.85x = 942,597.63
  5. Step 5: Solve for x
    x = 942,597.63/1,311.85
  6. Step 6: Final answer
    x = 718.53

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Why These Related Problems?

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