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Finding the Fourth Proportional to 770.13, 1,154.34 and 359.37

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Solution

The fourth proportional to 770.13, 1,154.34 and 359.37 is: 538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.13 : 1,154.34 = 359.37 : x
  2. Step 2: Convert to fraction form
    770.13/1,154.34 = 359.37/x
  3. Step 3: Cross multiply
    770.13x = 1,154.34 × 359.37
  4. Step 4: Simplify right side
    770.13x = 414,835.17
  5. Step 5: Solve for x
    x = 414,835.17/770.13
  6. Step 6: Final answer
    x = 538.66

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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.