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Finding the Fourth Proportional to 1,062.14, 1,465.74 and 596.36

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Solution

The fourth proportional to 1,062.14, 1,465.74 and 596.36 is: 822.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.14 : 1,465.74 = 596.36 : x
  2. Step 2: Convert to fraction form
    1,062.14/1,465.74 = 596.36/x
  3. Step 3: Cross multiply
    1,062.14x = 1,465.74 × 596.36
  4. Step 4: Simplify right side
    1,062.14x = 874,108.71
  5. Step 5: Solve for x
    x = 874,108.71/1,062.14
  6. Step 6: Final answer
    x = 822.97

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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.