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Finding the Fourth Proportional to 1,303.95, 1,800.01 and 779.88

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Solution

The fourth proportional to 1,303.95, 1,800.01 and 779.88 is: 1,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.95 : 1,800.01 = 779.88 : x
  2. Step 2: Convert to fraction form
    1,303.95/1,800.01 = 779.88/x
  3. Step 3: Cross multiply
    1,303.95x = 1,800.01 × 779.88
  4. Step 4: Simplify right side
    1,303.95x = 1,403,791.80
  5. Step 5: Solve for x
    x = 1,403,791.80/1,303.95
  6. Step 6: Final answer
    x = 1,076.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.