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Finding the Fourth Proportional to 1,458.92, 2,187.77 and 534.51

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Solution

The fourth proportional to 1,458.92, 2,187.77 and 534.51 is: 801.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.92 : 2,187.77 = 534.51 : x
  2. Step 2: Convert to fraction form
    1,458.92/2,187.77 = 534.51/x
  3. Step 3: Cross multiply
    1,458.92x = 2,187.77 × 534.51
  4. Step 4: Simplify right side
    1,458.92x = 1,169,382.27
  5. Step 5: Solve for x
    x = 1,169,382.27/1,458.92
  6. Step 6: Final answer
    x = 801.54

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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.