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Finding the Fourth Proportional to 1,155.29, 1,733.01 and 375.54

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Solution

The fourth proportional to 1,155.29, 1,733.01 and 375.54 is: 563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.29 : 1,733.01 = 375.54 : x
  2. Step 2: Convert to fraction form
    1,155.29/1,733.01 = 375.54/x
  3. Step 3: Cross multiply
    1,155.29x = 1,733.01 × 375.54
  4. Step 4: Simplify right side
    1,155.29x = 650,806.67
  5. Step 5: Solve for x
    x = 650,806.67/1,155.29
  6. Step 6: Final answer
    x = 563.33

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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.