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Finding the Fourth Proportional to 1,529.51, 2,295.36 and 788.66

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Solution

The fourth proportional to 1,529.51, 2,295.36 and 788.66 is: 1,183.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.51 : 2,295.36 = 788.66 : x
  2. Step 2: Convert to fraction form
    1,529.51/2,295.36 = 788.66/x
  3. Step 3: Cross multiply
    1,529.51x = 2,295.36 × 788.66
  4. Step 4: Simplify right side
    1,529.51x = 1,810,247.14
  5. Step 5: Solve for x
    x = 1,810,247.14/1,529.51
  6. Step 6: Final answer
    x = 1,183.55

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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.