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Finding the Fourth Proportional to 1,055.18, 1,453.01 and 833.45

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Solution

The fourth proportional to 1,055.18, 1,453.01 and 833.45 is: 1,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.18 : 1,453.01 = 833.45 : x
  2. Step 2: Convert to fraction form
    1,055.18/1,453.01 = 833.45/x
  3. Step 3: Cross multiply
    1,055.18x = 1,453.01 × 833.45
  4. Step 4: Simplify right side
    1,055.18x = 1,210,999.75
  5. Step 5: Solve for x
    x = 1,210,999.75/1,055.18
  6. Step 6: Final answer
    x = 1,147.67

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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.