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Finding the Fourth Proportional to 975.22, 1,461.44 and 512.08

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Solution

The fourth proportional to 975.22, 1,461.44 and 512.08 is: 767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.22 : 1,461.44 = 512.08 : x
  2. Step 2: Convert to fraction form
    975.22/1,461.44 = 512.08/x
  3. Step 3: Cross multiply
    975.22x = 1,461.44 × 512.08
  4. Step 4: Simplify right side
    975.22x = 748,374.20
  5. Step 5: Solve for x
    x = 748,374.20/975.22
  6. Step 6: Final answer
    x = 767.39

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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.