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Finding the Fourth Proportional to 1,113.69, 1,669.96 and 373.03

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Solution

The fourth proportional to 1,113.69, 1,669.96 and 373.03 is: 559.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.69 : 1,669.96 = 373.03 : x
  2. Step 2: Convert to fraction form
    1,113.69/1,669.96 = 373.03/x
  3. Step 3: Cross multiply
    1,113.69x = 1,669.96 × 373.03
  4. Step 4: Simplify right side
    1,113.69x = 622,945.18
  5. Step 5: Solve for x
    x = 622,945.18/1,113.69
  6. Step 6: Final answer
    x = 559.35

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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.