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Finding the Fourth Proportional to 970.68, 1,339.14 and 577.32

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Solution

The fourth proportional to 970.68, 1,339.14 and 577.32 is: 796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.68 : 1,339.14 = 577.32 : x
  2. Step 2: Convert to fraction form
    970.68/1,339.14 = 577.32/x
  3. Step 3: Cross multiply
    970.68x = 1,339.14 × 577.32
  4. Step 4: Simplify right side
    970.68x = 773,112.30
  5. Step 5: Solve for x
    x = 773,112.30/970.68
  6. Step 6: Final answer
    x = 796.46

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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.