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Finding the Fourth Proportional to 1,062.14, 1,465.68 and 596.38

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Solution

The fourth proportional to 1,062.14, 1,465.68 and 596.38 is: 822.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.14 : 1,465.68 = 596.38 : x
  2. Step 2: Convert to fraction form
    1,062.14/1,465.68 = 596.38/x
  3. Step 3: Cross multiply
    1,062.14x = 1,465.68 × 596.38
  4. Step 4: Simplify right side
    1,062.14x = 874,102.24
  5. Step 5: Solve for x
    x = 874,102.24/1,062.14
  6. Step 6: Final answer
    x = 822.96

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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.