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Finding the Fourth Proportional to 1,263.59, 1,893 and 852.01

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Solution

The fourth proportional to 1,263.59, 1,893 and 852.01 is: 1,276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.59 : 1,893 = 852.01 : x
  2. Step 2: Convert to fraction form
    1,263.59/1,893 = 852.01/x
  3. Step 3: Cross multiply
    1,263.59x = 1,893 × 852.01
  4. Step 4: Simplify right side
    1,263.59x = 1,612,854.93
  5. Step 5: Solve for x
    x = 1,612,854.93/1,263.59
  6. Step 6: Final answer
    x = 1,276.41

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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.