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Finding the Fourth Proportional to 1,354.08, 2,029.75 and 532.93

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Solution

The fourth proportional to 1,354.08, 2,029.75 and 532.93 is: 798.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.08 : 2,029.75 = 532.93 : x
  2. Step 2: Convert to fraction form
    1,354.08/2,029.75 = 532.93/x
  3. Step 3: Cross multiply
    1,354.08x = 2,029.75 × 532.93
  4. Step 4: Simplify right side
    1,354.08x = 1,081,709.26
  5. Step 5: Solve for x
    x = 1,081,709.26/1,354.08
  6. Step 6: Final answer
    x = 798.85

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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.