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Finding the Fourth Proportional to 970, 1,338.66 and 597.39

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Solution

The fourth proportional to 970, 1,338.66 and 597.39 is: 824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    970 : 1,338.66 = 597.39 : x
  2. Step 2: Convert to fraction form
    970/1,338.66 = 597.39/x
  3. Step 3: Cross multiply
    970x = 1,338.66 × 597.39
  4. Step 4: Simplify right side
    970x = 799,702.10
  5. Step 5: Solve for x
    x = 799,702.10/970
  6. Step 6: Final answer
    x = 824.44

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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.