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Finding the Fourth Proportional to 1,365.07, 1,883.72 and 775.56

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Solution

The fourth proportional to 1,365.07, 1,883.72 and 775.56 is: 1,070.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.07 : 1,883.72 = 775.56 : x
  2. Step 2: Convert to fraction form
    1,365.07/1,883.72 = 775.56/x
  3. Step 3: Cross multiply
    1,365.07x = 1,883.72 × 775.56
  4. Step 4: Simplify right side
    1,365.07x = 1,460,937.88
  5. Step 5: Solve for x
    x = 1,460,937.88/1,365.07
  6. Step 6: Final answer
    x = 1,070.23

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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.