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Finding the Fourth Proportional to 1,415.51, 1,953.41 and 786.05

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Solution

The fourth proportional to 1,415.51, 1,953.41 and 786.05 is: 1,084.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.51 : 1,953.41 = 786.05 : x
  2. Step 2: Convert to fraction form
    1,415.51/1,953.41 = 786.05/x
  3. Step 3: Cross multiply
    1,415.51x = 1,953.41 × 786.05
  4. Step 4: Simplify right side
    1,415.51x = 1,535,477.93
  5. Step 5: Solve for x
    x = 1,535,477.93/1,415.51
  6. Step 6: Final answer
    x = 1,084.75

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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.