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Finding the Fourth Proportional to 1,403.64, 1,937.14 and 774.26

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Solution

The fourth proportional to 1,403.64, 1,937.14 and 774.26 is: 1,068.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.64 : 1,937.14 = 774.26 : x
  2. Step 2: Convert to fraction form
    1,403.64/1,937.14 = 774.26/x
  3. Step 3: Cross multiply
    1,403.64x = 1,937.14 × 774.26
  4. Step 4: Simplify right side
    1,403.64x = 1,499,850.02
  5. Step 5: Solve for x
    x = 1,499,850.02/1,403.64
  6. Step 6: Final answer
    x = 1,068.54

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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.