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Finding the Fourth Proportional to 1,442.15, 1,990.17 and 779.00

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Solution

The fourth proportional to 1,442.15, 1,990.17 and 779.00 is: 1,075.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.15 : 1,990.17 = 779.00 : x
  2. Step 2: Convert to fraction form
    1,442.15/1,990.17 = 779.00/x
  3. Step 3: Cross multiply
    1,442.15x = 1,990.17 × 779.00
  4. Step 4: Simplify right side
    1,442.15x = 1,550,345.46
  5. Step 5: Solve for x
    x = 1,550,345.46/1,442.15
  6. Step 6: Final answer
    x = 1,075.02

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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.