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Finding the Fourth Proportional to 1,290.06, 1,780.28 and 700.59

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Solution

The fourth proportional to 1,290.06, 1,780.28 and 700.59 is: 966.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.06 : 1,780.28 = 700.59 : x
  2. Step 2: Convert to fraction form
    1,290.06/1,780.28 = 700.59/x
  3. Step 3: Cross multiply
    1,290.06x = 1,780.28 × 700.59
  4. Step 4: Simplify right side
    1,290.06x = 1,247,242.86
  5. Step 5: Solve for x
    x = 1,247,242.86/1,290.06
  6. Step 6: Final answer
    x = 966.81

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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.