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Finding the Fourth Proportional to 1,420.16, 2,129.52 and 650

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Solution

The fourth proportional to 1,420.16, 2,129.52 and 650 is: 974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.16 : 2,129.52 = 650 : x
  2. Step 2: Convert to fraction form
    1,420.16/2,129.52 = 650/x
  3. Step 3: Cross multiply
    1,420.16x = 2,129.52 × 650
  4. Step 4: Simplify right side
    1,420.16x = 1,384,188
  5. Step 5: Solve for x
    x = 1,384,188/1,420.16
  6. Step 6: Final answer
    x = 974.67

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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.