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Finding the Fourth Proportional to 973.45, 1,460.35 and 511.09

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Solution

The fourth proportional to 973.45, 1,460.35 and 511.09 is: 766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.45 : 1,460.35 = 511.09 : x
  2. Step 2: Convert to fraction form
    973.45/1,460.35 = 511.09/x
  3. Step 3: Cross multiply
    973.45x = 1,460.35 × 511.09
  4. Step 4: Simplify right side
    973.45x = 746,370.28
  5. Step 5: Solve for x
    x = 746,370.28/973.45
  6. Step 6: Final answer
    x = 766.73

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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.