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Finding the Fourth Proportional to 1,405.00, 1,938.86 and 775.59

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Solution

The fourth proportional to 1,405.00, 1,938.86 and 775.59 is: 1,070.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.00 : 1,938.86 = 775.59 : x
  2. Step 2: Convert to fraction form
    1,405.00/1,938.86 = 775.59/x
  3. Step 3: Cross multiply
    1,405.00x = 1,938.86 × 775.59
  4. Step 4: Simplify right side
    1,405.00x = 1,503,752.67
  5. Step 5: Solve for x
    x = 1,503,752.67/1,405.00
  6. Step 6: Final answer
    x = 1,070.29

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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.