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Finding the Fourth Proportional to 1,458.23, 2,186.75 and 533.52

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Solution

The fourth proportional to 1,458.23, 2,186.75 and 533.52 is: 800.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.23 : 2,186.75 = 533.52 : x
  2. Step 2: Convert to fraction form
    1,458.23/2,186.75 = 533.52/x
  3. Step 3: Cross multiply
    1,458.23x = 2,186.75 × 533.52
  4. Step 4: Simplify right side
    1,458.23x = 1,166,676.19
  5. Step 5: Solve for x
    x = 1,166,676.19/1,458.23
  6. Step 6: Final answer
    x = 800.07

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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.