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Finding the Fourth Proportional to 975.05, 1,460.25 and 563.32

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Solution

The fourth proportional to 975.05, 1,460.25 and 563.32 is: 843.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.05 : 1,460.25 = 563.32 : x
  2. Step 2: Convert to fraction form
    975.05/1,460.25 = 563.32/x
  3. Step 3: Cross multiply
    975.05x = 1,460.25 × 563.32
  4. Step 4: Simplify right side
    975.05x = 822,588.03
  5. Step 5: Solve for x
    x = 822,588.03/975.05
  6. Step 6: Final answer
    x = 843.64

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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.