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Finding the Fourth Proportional to 970, 1,338.84 and 597.22

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Solution

The fourth proportional to 970, 1,338.84 and 597.22 is: 824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    970 : 1,338.84 = 597.22 : x
  2. Step 2: Convert to fraction form
    970/1,338.84 = 597.22/x
  3. Step 3: Cross multiply
    970x = 1,338.84 × 597.22
  4. Step 4: Simplify right side
    970x = 799,582.02
  5. Step 5: Solve for x
    x = 799,582.02/970
  6. Step 6: Final answer
    x = 824.31

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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.