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Finding the Fourth Proportional to 770.21, 1,154.12 and 509.93

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Solution

The fourth proportional to 770.21, 1,154.12 and 509.93 is: 764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.21 : 1,154.12 = 509.93 : x
  2. Step 2: Convert to fraction form
    770.21/1,154.12 = 509.93/x
  3. Step 3: Cross multiply
    770.21x = 1,154.12 × 509.93
  4. Step 4: Simplify right side
    770.21x = 588,512.09
  5. Step 5: Solve for x
    x = 588,512.09/770.21
  6. Step 6: Final answer
    x = 764.10

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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.