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Finding the Fourth Proportional to 1,263.03, 1,895.73 and 777.03

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Solution

The fourth proportional to 1,263.03, 1,895.73 and 777.03 is: 1,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.03 : 1,895.73 = 777.03 : x
  2. Step 2: Convert to fraction form
    1,263.03/1,895.73 = 777.03/x
  3. Step 3: Cross multiply
    1,263.03x = 1,895.73 × 777.03
  4. Step 4: Simplify right side
    1,263.03x = 1,473,039.08
  5. Step 5: Solve for x
    x = 1,473,039.08/1,263.03
  6. Step 6: Final answer
    x = 1,166.27

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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.