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Finding the Fourth Proportional to 770.35, 1,156.38 and 400.06

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Solution

The fourth proportional to 770.35, 1,156.38 and 400.06 is: 600.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.35 : 1,156.38 = 400.06 : x
  2. Step 2: Convert to fraction form
    770.35/1,156.38 = 400.06/x
  3. Step 3: Cross multiply
    770.35x = 1,156.38 × 400.06
  4. Step 4: Simplify right side
    770.35x = 462,621.38
  5. Step 5: Solve for x
    x = 462,621.38/770.35
  6. Step 6: Final answer
    x = 600.53

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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.