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Finding the Fourth Proportional to 1,085.04, 1,619.71 and 953.68

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Solution

The fourth proportional to 1,085.04, 1,619.71 and 953.68 is: 1,423.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.04 : 1,619.71 = 953.68 : x
  2. Step 2: Convert to fraction form
    1,085.04/1,619.71 = 953.68/x
  3. Step 3: Cross multiply
    1,085.04x = 1,619.71 × 953.68
  4. Step 4: Simplify right side
    1,085.04x = 1,544,680.98
  5. Step 5: Solve for x
    x = 1,544,680.98/1,085.04
  6. Step 6: Final answer
    x = 1,423.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.