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Finding the Fourth Proportional to 770.23, 1,154.76 and 380.08

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Solution

The fourth proportional to 770.23, 1,154.76 and 380.08 is: 569.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.23 : 1,154.76 = 380.08 : x
  2. Step 2: Convert to fraction form
    770.23/1,154.76 = 380.08/x
  3. Step 3: Cross multiply
    770.23x = 1,154.76 × 380.08
  4. Step 4: Simplify right side
    770.23x = 438,901.18
  5. Step 5: Solve for x
    x = 438,901.18/770.23
  6. Step 6: Final answer
    x = 569.83

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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.