Home / 1,030.24-1,419.27-852.46

Finding the Fourth Proportional to 1,030.24, 1,419.27 and 852.46

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Solution

The fourth proportional to 1,030.24, 1,419.27 and 852.46 is: 1,174.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.24 : 1,419.27 = 852.46 : x
  2. Step 2: Convert to fraction form
    1,030.24/1,419.27 = 852.46/x
  3. Step 3: Cross multiply
    1,030.24x = 1,419.27 × 852.46
  4. Step 4: Simplify right side
    1,030.24x = 1,209,870.90
  5. Step 5: Solve for x
    x = 1,209,870.90/1,030.24
  6. Step 6: Final answer
    x = 1,174.36

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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.