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Finding the Fourth Proportional to 1,380.67, 1,904.77 and 790.89

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Solution

The fourth proportional to 1,380.67, 1,904.77 and 790.89 is: 1,091.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.67 : 1,904.77 = 790.89 : x
  2. Step 2: Convert to fraction form
    1,380.67/1,904.77 = 790.89/x
  3. Step 3: Cross multiply
    1,380.67x = 1,904.77 × 790.89
  4. Step 4: Simplify right side
    1,380.67x = 1,506,463.55
  5. Step 5: Solve for x
    x = 1,506,463.55/1,380.67
  6. Step 6: Final answer
    x = 1,091.11

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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.