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Finding the Fourth Proportional to 967.10, 1,449.21 and 555.62

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Solution

The fourth proportional to 967.10, 1,449.21 and 555.62 is: 832.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.10 : 1,449.21 = 555.62 : x
  2. Step 2: Convert to fraction form
    967.10/1,449.21 = 555.62/x
  3. Step 3: Cross multiply
    967.10x = 1,449.21 × 555.62
  4. Step 4: Simplify right side
    967.10x = 805,210.06
  5. Step 5: Solve for x
    x = 805,210.06/967.10
  6. Step 6: Final answer
    x = 832.60

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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.