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Finding the Fourth Proportional to 901.29, 1,242 and 652.14

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Solution

The fourth proportional to 901.29, 1,242 and 652.14 is: 898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.29 : 1,242 = 652.14 : x
  2. Step 2: Convert to fraction form
    901.29/1,242 = 652.14/x
  3. Step 3: Cross multiply
    901.29x = 1,242 × 652.14
  4. Step 4: Simplify right side
    901.29x = 809,957.88
  5. Step 5: Solve for x
    x = 809,957.88/901.29
  6. Step 6: Final answer
    x = 898.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.