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Finding the Fourth Proportional to 770.34, 1,154.72 and 359.14

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Solution

The fourth proportional to 770.34, 1,154.72 and 359.14 is: 538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.34 : 1,154.72 = 359.14 : x
  2. Step 2: Convert to fraction form
    770.34/1,154.72 = 359.14/x
  3. Step 3: Cross multiply
    770.34x = 1,154.72 × 359.14
  4. Step 4: Simplify right side
    770.34x = 414,708.13
  5. Step 5: Solve for x
    x = 414,708.13/770.34
  6. Step 6: Final answer
    x = 538.34

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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.