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Finding the Fourth Proportional to 1,571.13, 2,355.75 and 750.06

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Solution

The fourth proportional to 1,571.13, 2,355.75 and 750.06 is: 1,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.13 : 2,355.75 = 750.06 : x
  2. Step 2: Convert to fraction form
    1,571.13/2,355.75 = 750.06/x
  3. Step 3: Cross multiply
    1,571.13x = 2,355.75 × 750.06
  4. Step 4: Simplify right side
    1,571.13x = 1,766,953.85
  5. Step 5: Solve for x
    x = 1,766,953.85/1,571.13
  6. Step 6: Final answer
    x = 1,124.64

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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.