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Finding the Fourth Proportional to 1,243.63, 1,862.80 and 877.11

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Solution

The fourth proportional to 1,243.63, 1,862.80 and 877.11 is: 1,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.63 : 1,862.80 = 877.11 : x
  2. Step 2: Convert to fraction form
    1,243.63/1,862.80 = 877.11/x
  3. Step 3: Cross multiply
    1,243.63x = 1,862.80 × 877.11
  4. Step 4: Simplify right side
    1,243.63x = 1,633,880.51
  5. Step 5: Solve for x
    x = 1,633,880.51/1,243.63
  6. Step 6: Final answer
    x = 1,313.80

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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.