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Finding the Fourth Proportional to 970.19, 1,338.41 and 597.02

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Solution

The fourth proportional to 970.19, 1,338.41 and 597.02 is: 823.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.19 : 1,338.41 = 597.02 : x
  2. Step 2: Convert to fraction form
    970.19/1,338.41 = 597.02/x
  3. Step 3: Cross multiply
    970.19x = 1,338.41 × 597.02
  4. Step 4: Simplify right side
    970.19x = 799,057.54
  5. Step 5: Solve for x
    x = 799,057.54/970.19
  6. Step 6: Final answer
    x = 823.61

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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.