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Finding the Fourth Proportional to 1,062, 1,465.63 and 596.25

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Solution

The fourth proportional to 1,062, 1,465.63 and 596.25 is: 822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062 : 1,465.63 = 596.25 : x
  2. Step 2: Convert to fraction form
    1,062/1,465.63 = 596.25/x
  3. Step 3: Cross multiply
    1,062x = 1,465.63 × 596.25
  4. Step 4: Simplify right side
    1,062x = 873,880.40
  5. Step 5: Solve for x
    x = 873,880.40/1,062
  6. Step 6: Final answer
    x = 822.86

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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.