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Finding the Fourth Proportional to 970.92, 1,339.09 and 597.23

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Solution

The fourth proportional to 970.92, 1,339.09 and 597.23 is: 823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.92 : 1,339.09 = 597.23 : x
  2. Step 2: Convert to fraction form
    970.92/1,339.09 = 597.23/x
  3. Step 3: Cross multiply
    970.92x = 1,339.09 × 597.23
  4. Step 4: Simplify right side
    970.92x = 799,744.72
  5. Step 5: Solve for x
    x = 799,744.72/970.92
  6. Step 6: Final answer
    x = 823.70

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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.