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Finding the Fourth Proportional to 845.14, 1,267.28 and 260.00

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Solution

The fourth proportional to 845.14, 1,267.28 and 260.00 is: 389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.14 : 1,267.28 = 260.00 : x
  2. Step 2: Convert to fraction form
    845.14/1,267.28 = 260.00/x
  3. Step 3: Cross multiply
    845.14x = 1,267.28 × 260.00
  4. Step 4: Simplify right side
    845.14x = 329,487.11
  5. Step 5: Solve for x
    x = 329,487.11/845.14
  6. Step 6: Final answer
    x = 389.86

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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.