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Finding the Fourth Proportional to 1,026.84, 1,418.40 and 895.62

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Solution

The fourth proportional to 1,026.84, 1,418.40 and 895.62 is: 1,237.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.84 : 1,418.40 = 895.62 : x
  2. Step 2: Convert to fraction form
    1,026.84/1,418.40 = 895.62/x
  3. Step 3: Cross multiply
    1,026.84x = 1,418.40 × 895.62
  4. Step 4: Simplify right side
    1,026.84x = 1,270,347.41
  5. Step 5: Solve for x
    x = 1,270,347.41/1,026.84
  6. Step 6: Final answer
    x = 1,237.14

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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.