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Finding the Fourth Proportional to 557.02, 832.50 and 513.24

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Solution

The fourth proportional to 557.02, 832.50 and 513.24 is: 767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.02 : 832.50 = 513.24 : x
  2. Step 2: Convert to fraction form
    557.02/832.50 = 513.24/x
  3. Step 3: Cross multiply
    557.02x = 832.50 × 513.24
  4. Step 4: Simplify right side
    557.02x = 427,272.30
  5. Step 5: Solve for x
    x = 427,272.30/557.02
  6. Step 6: Final answer
    x = 767.07

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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.