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Finding the Fourth Proportional to 1,085.24, 1,628.04 and 354.80

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Solution

The fourth proportional to 1,085.24, 1,628.04 and 354.80 is: 532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.24 : 1,628.04 = 354.80 : x
  2. Step 2: Convert to fraction form
    1,085.24/1,628.04 = 354.80/x
  3. Step 3: Cross multiply
    1,085.24x = 1,628.04 × 354.80
  4. Step 4: Simplify right side
    1,085.24x = 577,628.59
  5. Step 5: Solve for x
    x = 577,628.59/1,085.24
  6. Step 6: Final answer
    x = 532.26

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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.