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Finding the Fourth Proportional to 1,502.95, 2,253.74 and 462.59

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Solution

The fourth proportional to 1,502.95, 2,253.74 and 462.59 is: 693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.95 : 2,253.74 = 462.59 : x
  2. Step 2: Convert to fraction form
    1,502.95/2,253.74 = 462.59/x
  3. Step 3: Cross multiply
    1,502.95x = 2,253.74 × 462.59
  4. Step 4: Simplify right side
    1,502.95x = 1,042,555.27
  5. Step 5: Solve for x
    x = 1,042,555.27/1,502.95
  6. Step 6: Final answer
    x = 693.67

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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.