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Finding the Fourth Proportional to 770.76, 1,154.61 and 359.33

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Solution

The fourth proportional to 770.76, 1,154.61 and 359.33 is: 538.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.76 : 1,154.61 = 359.33 : x
  2. Step 2: Convert to fraction form
    770.76/1,154.61 = 359.33/x
  3. Step 3: Cross multiply
    770.76x = 1,154.61 × 359.33
  4. Step 4: Simplify right side
    770.76x = 414,880.24
  5. Step 5: Solve for x
    x = 414,880.24/770.76
  6. Step 6: Final answer
    x = 538.27

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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.