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Finding the Fourth Proportional to 1,403.59, 1,936.85 and 774.08

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Solution

The fourth proportional to 1,403.59, 1,936.85 and 774.08 is: 1,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.59 : 1,936.85 = 774.08 : x
  2. Step 2: Convert to fraction form
    1,403.59/1,936.85 = 774.08/x
  3. Step 3: Cross multiply
    1,403.59x = 1,936.85 × 774.08
  4. Step 4: Simplify right side
    1,403.59x = 1,499,267.16
  5. Step 5: Solve for x
    x = 1,499,267.16/1,403.59
  6. Step 6: Final answer
    x = 1,068.17

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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.