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Finding the Fourth Proportional to 1,187.51, 1,782.05 and 895.22

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Solution

The fourth proportional to 1,187.51, 1,782.05 and 895.22 is: 1,343.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.51 : 1,782.05 = 895.22 : x
  2. Step 2: Convert to fraction form
    1,187.51/1,782.05 = 895.22/x
  3. Step 3: Cross multiply
    1,187.51x = 1,782.05 × 895.22
  4. Step 4: Simplify right side
    1,187.51x = 1,595,313.41
  5. Step 5: Solve for x
    x = 1,595,313.41/1,187.51
  6. Step 6: Final answer
    x = 1,343.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.