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Finding the Fourth Proportional to 770.99, 1,156.75 and 406.01

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Solution

The fourth proportional to 770.99, 1,156.75 and 406.01 is: 609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.99 : 1,156.75 = 406.01 : x
  2. Step 2: Convert to fraction form
    770.99/1,156.75 = 406.01/x
  3. Step 3: Cross multiply
    770.99x = 1,156.75 × 406.01
  4. Step 4: Simplify right side
    770.99x = 469,653.94
  5. Step 5: Solve for x
    x = 469,653.94/770.99
  6. Step 6: Final answer
    x = 609.16

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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.