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Finding the Fourth Proportional to 914.06, 1,371.90 and 452.18

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Solution

The fourth proportional to 914.06, 1,371.90 and 452.18 is: 678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.06 : 1,371.90 = 452.18 : x
  2. Step 2: Convert to fraction form
    914.06/1,371.90 = 452.18/x
  3. Step 3: Cross multiply
    914.06x = 1,371.90 × 452.18
  4. Step 4: Simplify right side
    914.06x = 620,345.74
  5. Step 5: Solve for x
    x = 620,345.74/914.06
  6. Step 6: Final answer
    x = 678.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.