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Finding the Fourth Proportional to 1,571.02, 2,355.20 and 790.06

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Solution

The fourth proportional to 1,571.02, 2,355.20 and 790.06 is: 1,184.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.02 : 2,355.20 = 790.06 : x
  2. Step 2: Convert to fraction form
    1,571.02/2,355.20 = 790.06/x
  3. Step 3: Cross multiply
    1,571.02x = 2,355.20 × 790.06
  4. Step 4: Simplify right side
    1,571.02x = 1,860,749.31
  5. Step 5: Solve for x
    x = 1,860,749.31/1,571.02
  6. Step 6: Final answer
    x = 1,184.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.