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Finding the Fourth Proportional to 1,162.01, 1,741.60 and 722.59

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Solution

The fourth proportional to 1,162.01, 1,741.60 and 722.59 is: 1,083.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.01 : 1,741.60 = 722.59 : x
  2. Step 2: Convert to fraction form
    1,162.01/1,741.60 = 722.59/x
  3. Step 3: Cross multiply
    1,162.01x = 1,741.60 × 722.59
  4. Step 4: Simplify right side
    1,162.01x = 1,258,459.29
  5. Step 5: Solve for x
    x = 1,258,459.29/1,162.01
  6. Step 6: Final answer
    x = 1,083.00

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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.