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Finding the Fourth Proportional to 1,085.24, 1,618.71 and 1,052.92

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Solution

The fourth proportional to 1,085.24, 1,618.71 and 1,052.92 is: 1,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.24 : 1,618.71 = 1,052.92 : x
  2. Step 2: Convert to fraction form
    1,085.24/1,618.71 = 1,052.92/x
  3. Step 3: Cross multiply
    1,085.24x = 1,618.71 × 1,052.92
  4. Step 4: Simplify right side
    1,085.24x = 1,704,372.13
  5. Step 5: Solve for x
    x = 1,704,372.13/1,085.24
  6. Step 6: Final answer
    x = 1,570.50

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Why These Related Problems?

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