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Finding the Fourth Proportional to 1,370.47, 1,890.98 and 780.99

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Solution

The fourth proportional to 1,370.47, 1,890.98 and 780.99 is: 1,077.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.47 : 1,890.98 = 780.99 : x
  2. Step 2: Convert to fraction form
    1,370.47/1,890.98 = 780.99/x
  3. Step 3: Cross multiply
    1,370.47x = 1,890.98 × 780.99
  4. Step 4: Simplify right side
    1,370.47x = 1,476,832.57
  5. Step 5: Solve for x
    x = 1,476,832.57/1,370.47
  6. Step 6: Final answer
    x = 1,077.61

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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.