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Finding the Fourth Proportional to 1,450.54, 2,175.72 and 410.50

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Solution

The fourth proportional to 1,450.54, 2,175.72 and 410.50 is: 615.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.54 : 2,175.72 = 410.50 : x
  2. Step 2: Convert to fraction form
    1,450.54/2,175.72 = 410.50/x
  3. Step 3: Cross multiply
    1,450.54x = 2,175.72 × 410.50
  4. Step 4: Simplify right side
    1,450.54x = 893,133.06
  5. Step 5: Solve for x
    x = 893,133.06/1,450.54
  6. Step 6: Final answer
    x = 615.72

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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.