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Finding the Fourth Proportional to 1,028.59, 1,409.93 and 1,014.74

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Solution

The fourth proportional to 1,028.59, 1,409.93 and 1,014.74 is: 1,390.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.59 : 1,409.93 = 1,014.74 : x
  2. Step 2: Convert to fraction form
    1,028.59/1,409.93 = 1,014.74/x
  3. Step 3: Cross multiply
    1,028.59x = 1,409.93 × 1,014.74
  4. Step 4: Simplify right side
    1,028.59x = 1,430,707.29
  5. Step 5: Solve for x
    x = 1,430,707.29/1,028.59
  6. Step 6: Final answer
    x = 1,390.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.