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Finding the Fourth Proportional to 1,041.51, 1,438.50 and 820.18

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Solution

The fourth proportional to 1,041.51, 1,438.50 and 820.18 is: 1,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.51 : 1,438.50 = 820.18 : x
  2. Step 2: Convert to fraction form
    1,041.51/1,438.50 = 820.18/x
  3. Step 3: Cross multiply
    1,041.51x = 1,438.50 × 820.18
  4. Step 4: Simplify right side
    1,041.51x = 1,179,828.93
  5. Step 5: Solve for x
    x = 1,179,828.93/1,041.51
  6. Step 6: Final answer
    x = 1,132.81

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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.