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Finding the Fourth Proportional to 973.96, 1,461.23 and 511.68

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Solution

The fourth proportional to 973.96, 1,461.23 and 511.68 is: 767.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.96 : 1,461.23 = 511.68 : x
  2. Step 2: Convert to fraction form
    973.96/1,461.23 = 511.68/x
  3. Step 3: Cross multiply
    973.96x = 1,461.23 × 511.68
  4. Step 4: Simplify right side
    973.96x = 747,682.17
  5. Step 5: Solve for x
    x = 747,682.17/973.96
  6. Step 6: Final answer
    x = 767.67

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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.