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Finding the Fourth Proportional to 1,554.02, 2,329.34 and 774.60

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Solution

The fourth proportional to 1,554.02, 2,329.34 and 774.60 is: 1,161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.02 : 2,329.34 = 774.60 : x
  2. Step 2: Convert to fraction form
    1,554.02/2,329.34 = 774.60/x
  3. Step 3: Cross multiply
    1,554.02x = 2,329.34 × 774.60
  4. Step 4: Simplify right side
    1,554.02x = 1,804,306.76
  5. Step 5: Solve for x
    x = 1,804,306.76/1,554.02
  6. Step 6: Final answer
    x = 1,161.06

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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.