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Finding the Fourth Proportional to 1,368.12, 1,888.01 and 778.69

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Solution

The fourth proportional to 1,368.12, 1,888.01 and 778.69 is: 1,074.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.12 : 1,888.01 = 778.69 : x
  2. Step 2: Convert to fraction form
    1,368.12/1,888.01 = 778.69/x
  3. Step 3: Cross multiply
    1,368.12x = 1,888.01 × 778.69
  4. Step 4: Simplify right side
    1,368.12x = 1,470,174.51
  5. Step 5: Solve for x
    x = 1,470,174.51/1,368.12
  6. Step 6: Final answer
    x = 1,074.59

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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.