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Finding the Fourth Proportional to 1,368.34, 1,888.36 and 778.96

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Solution

The fourth proportional to 1,368.34, 1,888.36 and 778.96 is: 1,074.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.34 : 1,888.36 = 778.96 : x
  2. Step 2: Convert to fraction form
    1,368.34/1,888.36 = 778.96/x
  3. Step 3: Cross multiply
    1,368.34x = 1,888.36 × 778.96
  4. Step 4: Simplify right side
    1,368.34x = 1,470,956.91
  5. Step 5: Solve for x
    x = 1,470,956.91/1,368.34
  6. Step 6: Final answer
    x = 1,074.99

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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.