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Finding the Fourth Proportional to 898.55, 1,346.92 and 378.67

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Solution

The fourth proportional to 898.55, 1,346.92 and 378.67 is: 567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.55 : 1,346.92 = 378.67 : x
  2. Step 2: Convert to fraction form
    898.55/1,346.92 = 378.67/x
  3. Step 3: Cross multiply
    898.55x = 1,346.92 × 378.67
  4. Step 4: Simplify right side
    898.55x = 510,038.20
  5. Step 5: Solve for x
    x = 510,038.20/898.55
  6. Step 6: Final answer
    x = 567.62

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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.