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Finding the Fourth Proportional to 1,259.98, 1,738.77 and 700.45

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Solution

The fourth proportional to 1,259.98, 1,738.77 and 700.45 is: 966.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.98 : 1,738.77 = 700.45 : x
  2. Step 2: Convert to fraction form
    1,259.98/1,738.77 = 700.45/x
  3. Step 3: Cross multiply
    1,259.98x = 1,738.77 × 700.45
  4. Step 4: Simplify right side
    1,259.98x = 1,217,921.45
  5. Step 5: Solve for x
    x = 1,217,921.45/1,259.98
  6. Step 6: Final answer
    x = 966.62

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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.