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Finding the Fourth Proportional to 970.01, 1,338.13 and 596.40

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Solution

The fourth proportional to 970.01, 1,338.13 and 596.40 is: 822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.01 : 1,338.13 = 596.40 : x
  2. Step 2: Convert to fraction form
    970.01/1,338.13 = 596.40/x
  3. Step 3: Cross multiply
    970.01x = 1,338.13 × 596.40
  4. Step 4: Simplify right side
    970.01x = 798,056.46
  5. Step 5: Solve for x
    x = 798,056.46/970.01
  6. Step 6: Final answer
    x = 822.73

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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.