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Finding the Fourth Proportional to 1,404.02, 1,937.66 and 774.60

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Solution

The fourth proportional to 1,404.02, 1,937.66 and 774.60 is: 1,069.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.02 : 1,937.66 = 774.60 : x
  2. Step 2: Convert to fraction form
    1,404.02/1,937.66 = 774.60/x
  3. Step 3: Cross multiply
    1,404.02x = 1,937.66 × 774.60
  4. Step 4: Simplify right side
    1,404.02x = 1,500,923.18
  5. Step 5: Solve for x
    x = 1,500,923.18/1,404.02
  6. Step 6: Final answer
    x = 1,069.02

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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.