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Finding the Fourth Proportional to 1,118.12, 1,541.93 and 835.16

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Solution

The fourth proportional to 1,118.12, 1,541.93 and 835.16 is: 1,151.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.12 : 1,541.93 = 835.16 : x
  2. Step 2: Convert to fraction form
    1,118.12/1,541.93 = 835.16/x
  3. Step 3: Cross multiply
    1,118.12x = 1,541.93 × 835.16
  4. Step 4: Simplify right side
    1,118.12x = 1,287,752.16
  5. Step 5: Solve for x
    x = 1,287,752.16/1,118.12
  6. Step 6: Final answer
    x = 1,151.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.