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Finding the Fourth Proportional to 770.09, 1,153.05 and 404.10

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Solution

The fourth proportional to 770.09, 1,153.05 and 404.10 is: 605.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.09 : 1,153.05 = 404.10 : x
  2. Step 2: Convert to fraction form
    770.09/1,153.05 = 404.10/x
  3. Step 3: Cross multiply
    770.09x = 1,153.05 × 404.10
  4. Step 4: Simplify right side
    770.09x = 465,947.51
  5. Step 5: Solve for x
    x = 465,947.51/770.09
  6. Step 6: Final answer
    x = 605.06

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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.