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Finding the Fourth Proportional to 1,043.63, 1,436.10 and 852.87

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Solution

The fourth proportional to 1,043.63, 1,436.10 and 852.87 is: 1,173.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.63 : 1,436.10 = 852.87 : x
  2. Step 2: Convert to fraction form
    1,043.63/1,436.10 = 852.87/x
  3. Step 3: Cross multiply
    1,043.63x = 1,436.10 × 852.87
  4. Step 4: Simplify right side
    1,043.63x = 1,224,806.61
  5. Step 5: Solve for x
    x = 1,224,806.61/1,043.63
  6. Step 6: Final answer
    x = 1,173.61

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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.