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Finding the Fourth Proportional to 770.69, 1,154.82 and 598.36

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Solution

The fourth proportional to 770.69, 1,154.82 and 598.36 is: 896.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.69 : 1,154.82 = 598.36 : x
  2. Step 2: Convert to fraction form
    770.69/1,154.82 = 598.36/x
  3. Step 3: Cross multiply
    770.69x = 1,154.82 × 598.36
  4. Step 4: Simplify right side
    770.69x = 690,998.10
  5. Step 5: Solve for x
    x = 690,998.10/770.69
  6. Step 6: Final answer
    x = 896.60

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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.