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Finding the Fourth Proportional to 1,259.81, 1,888.83 and 556.67

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Solution

The fourth proportional to 1,259.81, 1,888.83 and 556.67 is: 834.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.81 : 1,888.83 = 556.67 : x
  2. Step 2: Convert to fraction form
    1,259.81/1,888.83 = 556.67/x
  3. Step 3: Cross multiply
    1,259.81x = 1,888.83 × 556.67
  4. Step 4: Simplify right side
    1,259.81x = 1,051,445.55
  5. Step 5: Solve for x
    x = 1,051,445.55/1,259.81
  6. Step 6: Final answer
    x = 834.61

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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.