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Finding the Fourth Proportional to 1,041.56, 1,562.72 and 630.96

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Solution

The fourth proportional to 1,041.56, 1,562.72 and 630.96 is: 946.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.56 : 1,562.72 = 630.96 : x
  2. Step 2: Convert to fraction form
    1,041.56/1,562.72 = 630.96/x
  3. Step 3: Cross multiply
    1,041.56x = 1,562.72 × 630.96
  4. Step 4: Simplify right side
    1,041.56x = 986,013.81
  5. Step 5: Solve for x
    x = 986,013.81/1,041.56
  6. Step 6: Final answer
    x = 946.67

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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.