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Finding the Fourth Proportional to 741.12, 1,022.40 and 555.36

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Solution

The fourth proportional to 741.12, 1,022.40 and 555.36 is: 766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.12 : 1,022.40 = 555.36 : x
  2. Step 2: Convert to fraction form
    741.12/1,022.40 = 555.36/x
  3. Step 3: Cross multiply
    741.12x = 1,022.40 × 555.36
  4. Step 4: Simplify right side
    741.12x = 567,800.06
  5. Step 5: Solve for x
    x = 567,800.06/741.12
  6. Step 6: Final answer
    x = 766.14

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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.