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Finding the Fourth Proportional to 777.10, 1,071.59 and 600.09

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Solution

The fourth proportional to 777.10, 1,071.59 and 600.09 is: 827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.10 : 1,071.59 = 600.09 : x
  2. Step 2: Convert to fraction form
    777.10/1,071.59 = 600.09/x
  3. Step 3: Cross multiply
    777.10x = 1,071.59 × 600.09
  4. Step 4: Simplify right side
    777.10x = 643,047.46
  5. Step 5: Solve for x
    x = 643,047.46/777.10
  6. Step 6: Final answer
    x = 827.50

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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.