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Finding the Fourth Proportional to 770.33, 1,061.64 and 582.81

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Solution

The fourth proportional to 770.33, 1,061.64 and 582.81 is: 803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.33 : 1,061.64 = 582.81 : x
  2. Step 2: Convert to fraction form
    770.33/1,061.64 = 582.81/x
  3. Step 3: Cross multiply
    770.33x = 1,061.64 × 582.81
  4. Step 4: Simplify right side
    770.33x = 618,734.41
  5. Step 5: Solve for x
    x = 618,734.41/770.33
  6. Step 6: Final answer
    x = 803.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.