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Finding the Fourth Proportional to 1,328.30, 1,835.61 and 1,065.86

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Solution

The fourth proportional to 1,328.30, 1,835.61 and 1,065.86 is: 1,472.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.30 : 1,835.61 = 1,065.86 : x
  2. Step 2: Convert to fraction form
    1,328.30/1,835.61 = 1,065.86/x
  3. Step 3: Cross multiply
    1,328.30x = 1,835.61 × 1,065.86
  4. Step 4: Simplify right side
    1,328.30x = 1,956,503.27
  5. Step 5: Solve for x
    x = 1,956,503.27/1,328.30
  6. Step 6: Final answer
    x = 1,472.94

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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.