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Finding the Fourth Proportional to 1,369.84, 2,054.40 and 777.30

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Solution

The fourth proportional to 1,369.84, 2,054.40 and 777.30 is: 1,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.84 : 2,054.40 = 777.30 : x
  2. Step 2: Convert to fraction form
    1,369.84/2,054.40 = 777.30/x
  3. Step 3: Cross multiply
    1,369.84x = 2,054.40 × 777.30
  4. Step 4: Simplify right side
    1,369.84x = 1,596,874.85
  5. Step 5: Solve for x
    x = 1,596,874.85/1,369.84
  6. Step 6: Final answer
    x = 1,165.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.