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Finding the Fourth Proportional to 1,390.18, 2,085.67 and 465.80

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Solution

The fourth proportional to 1,390.18, 2,085.67 and 465.80 is: 698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.18 : 2,085.67 = 465.80 : x
  2. Step 2: Convert to fraction form
    1,390.18/2,085.67 = 465.80/x
  3. Step 3: Cross multiply
    1,390.18x = 2,085.67 × 465.80
  4. Step 4: Simplify right side
    1,390.18x = 971,493.49
  5. Step 5: Solve for x
    x = 971,493.49/1,390.18
  6. Step 6: Final answer
    x = 698.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.