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Finding the Fourth Proportional to 770.38, 1,156.04 and 405.42

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Solution

The fourth proportional to 770.38, 1,156.04 and 405.42 is: 608.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.38 : 1,156.04 = 405.42 : x
  2. Step 2: Convert to fraction form
    770.38/1,156.04 = 405.42/x
  3. Step 3: Cross multiply
    770.38x = 1,156.04 × 405.42
  4. Step 4: Simplify right side
    770.38x = 468,681.74
  5. Step 5: Solve for x
    x = 468,681.74/770.38
  6. Step 6: Final answer
    x = 608.38

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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.