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Finding the Fourth Proportional to 1,040.95, 1,433.59 and 1,018.27

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Solution

The fourth proportional to 1,040.95, 1,433.59 and 1,018.27 is: 1,402.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.95 : 1,433.59 = 1,018.27 : x
  2. Step 2: Convert to fraction form
    1,040.95/1,433.59 = 1,018.27/x
  3. Step 3: Cross multiply
    1,040.95x = 1,433.59 × 1,018.27
  4. Step 4: Simplify right side
    1,040.95x = 1,459,779.14
  5. Step 5: Solve for x
    x = 1,459,779.14/1,040.95
  6. Step 6: Final answer
    x = 1,402.35

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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.