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Finding the Fourth Proportional to 1,450.42, 2,175.68 and 354.79

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Solution

The fourth proportional to 1,450.42, 2,175.68 and 354.79 is: 532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.42 : 2,175.68 = 354.79 : x
  2. Step 2: Convert to fraction form
    1,450.42/2,175.68 = 354.79/x
  3. Step 3: Cross multiply
    1,450.42x = 2,175.68 × 354.79
  4. Step 4: Simplify right side
    1,450.42x = 771,905.50
  5. Step 5: Solve for x
    x = 771,905.50/1,450.42
  6. Step 6: Final answer
    x = 532.19

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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.