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Finding the Fourth Proportional to 1,062.05, 1,465.23 and 782.96

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Solution

The fourth proportional to 1,062.05, 1,465.23 and 782.96 is: 1,080.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.05 : 1,465.23 = 782.96 : x
  2. Step 2: Convert to fraction form
    1,062.05/1,465.23 = 782.96/x
  3. Step 3: Cross multiply
    1,062.05x = 1,465.23 × 782.96
  4. Step 4: Simplify right side
    1,062.05x = 1,147,209.15
  5. Step 5: Solve for x
    x = 1,147,209.15/1,062.05
  6. Step 6: Final answer
    x = 1,080.19

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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.