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Finding the Fourth Proportional to 1,456.94, 2,185.32 and 591.23

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Solution

The fourth proportional to 1,456.94, 2,185.32 and 591.23 is: 886.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.94 : 2,185.32 = 591.23 : x
  2. Step 2: Convert to fraction form
    1,456.94/2,185.32 = 591.23/x
  3. Step 3: Cross multiply
    1,456.94x = 2,185.32 × 591.23
  4. Step 4: Simplify right side
    1,456.94x = 1,292,034.42
  5. Step 5: Solve for x
    x = 1,292,034.42/1,456.94
  6. Step 6: Final answer
    x = 886.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.