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Finding the Fourth Proportional to 770.69, 1,156.38 and 405.39

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Solution

The fourth proportional to 770.69, 1,156.38 and 405.39 is: 608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.69 : 1,156.38 = 405.39 : x
  2. Step 2: Convert to fraction form
    770.69/1,156.38 = 405.39/x
  3. Step 3: Cross multiply
    770.69x = 1,156.38 × 405.39
  4. Step 4: Simplify right side
    770.69x = 468,784.89
  5. Step 5: Solve for x
    x = 468,784.89/770.69
  6. Step 6: Final answer
    x = 608.27

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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.