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Finding the Fourth Proportional to 1,062.32, 1,465.96 and 596.48

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Solution

The fourth proportional to 1,062.32, 1,465.96 and 596.48 is: 823.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.32 : 1,465.96 = 596.48 : x
  2. Step 2: Convert to fraction form
    1,062.32/1,465.96 = 596.48/x
  3. Step 3: Cross multiply
    1,062.32x = 1,465.96 × 596.48
  4. Step 4: Simplify right side
    1,062.32x = 874,415.82
  5. Step 5: Solve for x
    x = 874,415.82/1,062.32
  6. Step 6: Final answer
    x = 823.12

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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.