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Finding the Fourth Proportional to 904.48, 1,354.97 and 513.30

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Solution

The fourth proportional to 904.48, 1,354.97 and 513.30 is: 768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.48 : 1,354.97 = 513.30 : x
  2. Step 2: Convert to fraction form
    904.48/1,354.97 = 513.30/x
  3. Step 3: Cross multiply
    904.48x = 1,354.97 × 513.30
  4. Step 4: Simplify right side
    904.48x = 695,509.08
  5. Step 5: Solve for x
    x = 695,509.08/904.48
  6. Step 6: Final answer
    x = 768.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.