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Finding the Fourth Proportional to 770.11, 1,062.80 and 507.94

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Solution

The fourth proportional to 770.11, 1,062.80 and 507.94 is: 700.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.11 : 1,062.80 = 507.94 : x
  2. Step 2: Convert to fraction form
    770.11/1,062.80 = 507.94/x
  3. Step 3: Cross multiply
    770.11x = 1,062.80 × 507.94
  4. Step 4: Simplify right side
    770.11x = 539,836.09
  5. Step 5: Solve for x
    x = 539,836.09/770.11
  6. Step 6: Final answer
    x = 700.99

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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.