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Finding the Fourth Proportional to 777.30, 1,071.94 and 525.79

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Solution

The fourth proportional to 777.30, 1,071.94 and 525.79 is: 725.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.30 : 1,071.94 = 525.79 : x
  2. Step 2: Convert to fraction form
    777.30/1,071.94 = 525.79/x
  3. Step 3: Cross multiply
    777.30x = 1,071.94 × 525.79
  4. Step 4: Simplify right side
    777.30x = 563,615.33
  5. Step 5: Solve for x
    x = 563,615.33/777.30
  6. Step 6: Final answer
    x = 725.09

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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.