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Finding the Fourth Proportional to 1,450.62, 2,175.93 and 354.98

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Solution

The fourth proportional to 1,450.62, 2,175.93 and 354.98 is: 532.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.62 : 2,175.93 = 354.98 : x
  2. Step 2: Convert to fraction form
    1,450.62/2,175.93 = 354.98/x
  3. Step 3: Cross multiply
    1,450.62x = 2,175.93 × 354.98
  4. Step 4: Simplify right side
    1,450.62x = 772,417.07
  5. Step 5: Solve for x
    x = 772,417.07/1,450.62
  6. Step 6: Final answer
    x = 532.47

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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.