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Finding the Fourth Proportional to 770.13, 1,062.80 and 420.84

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Solution

The fourth proportional to 770.13, 1,062.80 and 420.84 is: 580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.13 : 1,062.80 = 420.84 : x
  2. Step 2: Convert to fraction form
    770.13/1,062.80 = 420.84/x
  3. Step 3: Cross multiply
    770.13x = 1,062.80 × 420.84
  4. Step 4: Simplify right side
    770.13x = 447,268.75
  5. Step 5: Solve for x
    x = 447,268.75/770.13
  6. Step 6: Final answer
    x = 580.77

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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.