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Finding the Fourth Proportional to 970.57, 1,339.09 and 577.32

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Solution

The fourth proportional to 970.57, 1,339.09 and 577.32 is: 796.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.57 : 1,339.09 = 577.32 : x
  2. Step 2: Convert to fraction form
    970.57/1,339.09 = 577.32/x
  3. Step 3: Cross multiply
    970.57x = 1,339.09 × 577.32
  4. Step 4: Simplify right side
    970.57x = 773,083.44
  5. Step 5: Solve for x
    x = 773,083.44/970.57
  6. Step 6: Final answer
    x = 796.53

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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.