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Finding the Fourth Proportional to 1,015.37, 1,402.00 and 778.94

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Solution

The fourth proportional to 1,015.37, 1,402.00 and 778.94 is: 1,075.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.37 : 1,402.00 = 778.94 : x
  2. Step 2: Convert to fraction form
    1,015.37/1,402.00 = 778.94/x
  3. Step 3: Cross multiply
    1,015.37x = 1,402.00 × 778.94
  4. Step 4: Simplify right side
    1,015.37x = 1,092,076.31
  5. Step 5: Solve for x
    x = 1,092,076.31/1,015.37
  6. Step 6: Final answer
    x = 1,075.55

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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.