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Finding the Fourth Proportional to 971.52, 1,458.16 and 509.60

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Solution

The fourth proportional to 971.52, 1,458.16 and 509.60 is: 764.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.52 : 1,458.16 = 509.60 : x
  2. Step 2: Convert to fraction form
    971.52/1,458.16 = 509.60/x
  3. Step 3: Cross multiply
    971.52x = 1,458.16 × 509.60
  4. Step 4: Simplify right side
    971.52x = 743,078.34
  5. Step 5: Solve for x
    x = 743,078.34/971.52
  6. Step 6: Final answer
    x = 764.86

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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.