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Finding the Fourth Proportional to 1,188.90, 1,642.01 and 895.41

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Solution

The fourth proportional to 1,188.90, 1,642.01 and 895.41 is: 1,236.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.90 : 1,642.01 = 895.41 : x
  2. Step 2: Convert to fraction form
    1,188.90/1,642.01 = 895.41/x
  3. Step 3: Cross multiply
    1,188.90x = 1,642.01 × 895.41
  4. Step 4: Simplify right side
    1,188.90x = 1,470,267.70
  5. Step 5: Solve for x
    x = 1,470,267.70/1,188.90
  6. Step 6: Final answer
    x = 1,236.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.