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Finding the Fourth Proportional to 1,379.97, 1,904.40 and 782.45

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Solution

The fourth proportional to 1,379.97, 1,904.40 and 782.45 is: 1,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.97 : 1,904.40 = 782.45 : x
  2. Step 2: Convert to fraction form
    1,379.97/1,904.40 = 782.45/x
  3. Step 3: Cross multiply
    1,379.97x = 1,904.40 × 782.45
  4. Step 4: Simplify right side
    1,379.97x = 1,490,097.78
  5. Step 5: Solve for x
    x = 1,490,097.78/1,379.97
  6. Step 6: Final answer
    x = 1,079.80

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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.