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Finding the Fourth Proportional to 970.56, 1,339.37 and 572.23

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Solution

The fourth proportional to 970.56, 1,339.37 and 572.23 is: 789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.56 : 1,339.37 = 572.23 : x
  2. Step 2: Convert to fraction form
    970.56/1,339.37 = 572.23/x
  3. Step 3: Cross multiply
    970.56x = 1,339.37 × 572.23
  4. Step 4: Simplify right side
    970.56x = 766,427.70
  5. Step 5: Solve for x
    x = 766,427.70/970.56
  6. Step 6: Final answer
    x = 789.68

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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.