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Finding the Fourth Proportional to 1,148.77, 1,722.61 and 928.86

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Solution

The fourth proportional to 1,148.77, 1,722.61 and 928.86 is: 1,392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.77 : 1,722.61 = 928.86 : x
  2. Step 2: Convert to fraction form
    1,148.77/1,722.61 = 928.86/x
  3. Step 3: Cross multiply
    1,148.77x = 1,722.61 × 928.86
  4. Step 4: Simplify right side
    1,148.77x = 1,600,063.52
  5. Step 5: Solve for x
    x = 1,600,063.52/1,148.77
  6. Step 6: Final answer
    x = 1,392.85

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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.