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Finding the Fourth Proportional to 597.68, 892.34 and 511.06

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Solution

The fourth proportional to 597.68, 892.34 and 511.06 is: 763.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.68 : 892.34 = 511.06 : x
  2. Step 2: Convert to fraction form
    597.68/892.34 = 511.06/x
  3. Step 3: Cross multiply
    597.68x = 892.34 × 511.06
  4. Step 4: Simplify right side
    597.68x = 456,039.28
  5. Step 5: Solve for x
    x = 456,039.28/597.68
  6. Step 6: Final answer
    x = 763.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.