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Finding the Fourth Proportional to 975.10, 1,463.25 and 427.32

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Solution

The fourth proportional to 975.10, 1,463.25 and 427.32 is: 641.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.10 : 1,463.25 = 427.32 : x
  2. Step 2: Convert to fraction form
    975.10/1,463.25 = 427.32/x
  3. Step 3: Cross multiply
    975.10x = 1,463.25 × 427.32
  4. Step 4: Simplify right side
    975.10x = 625,275.99
  5. Step 5: Solve for x
    x = 625,275.99/975.10
  6. Step 6: Final answer
    x = 641.24

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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.