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Finding the Fourth Proportional to 973.77, 1,459.96 and 486.48

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Solution

The fourth proportional to 973.77, 1,459.96 and 486.48 is: 729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.77 : 1,459.96 = 486.48 : x
  2. Step 2: Convert to fraction form
    973.77/1,459.96 = 486.48/x
  3. Step 3: Cross multiply
    973.77x = 1,459.96 × 486.48
  4. Step 4: Simplify right side
    973.77x = 710,241.34
  5. Step 5: Solve for x
    x = 710,241.34/973.77
  6. Step 6: Final answer
    x = 729.37

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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.