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Finding the Fourth Proportional to 1,456.98, 2,186.34 and 579.32

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Solution

The fourth proportional to 1,456.98, 2,186.34 and 579.32 is: 869.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.98 : 2,186.34 = 579.32 : x
  2. Step 2: Convert to fraction form
    1,456.98/2,186.34 = 579.32/x
  3. Step 3: Cross multiply
    1,456.98x = 2,186.34 × 579.32
  4. Step 4: Simplify right side
    1,456.98x = 1,266,590.49
  5. Step 5: Solve for x
    x = 1,266,590.49/1,456.98
  6. Step 6: Final answer
    x = 869.33

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