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Finding the Fourth Proportional to 770.34, 1,154.13 and 729.33

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Solution

The fourth proportional to 770.34, 1,154.13 and 729.33 is: 1,092.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.34 : 1,154.13 = 729.33 : x
  2. Step 2: Convert to fraction form
    770.34/1,154.13 = 729.33/x
  3. Step 3: Cross multiply
    770.34x = 1,154.13 × 729.33
  4. Step 4: Simplify right side
    770.34x = 841,741.63
  5. Step 5: Solve for x
    x = 841,741.63/770.34
  6. Step 6: Final answer
    x = 1,092.69

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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.