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Finding the Fourth Proportional to 1,097.35, 1,636.54 and 933.83

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Solution

The fourth proportional to 1,097.35, 1,636.54 and 933.83 is: 1,392.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.35 : 1,636.54 = 933.83 : x
  2. Step 2: Convert to fraction form
    1,097.35/1,636.54 = 933.83/x
  3. Step 3: Cross multiply
    1,097.35x = 1,636.54 × 933.83
  4. Step 4: Simplify right side
    1,097.35x = 1,528,245.77
  5. Step 5: Solve for x
    x = 1,528,245.77/1,097.35
  6. Step 6: Final answer
    x = 1,392.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.