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Finding the Fourth Proportional to 1,115.98, 1,541.53 and 930.08

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Solution

The fourth proportional to 1,115.98, 1,541.53 and 930.08 is: 1,284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.98 : 1,541.53 = 930.08 : x
  2. Step 2: Convert to fraction form
    1,115.98/1,541.53 = 930.08/x
  3. Step 3: Cross multiply
    1,115.98x = 1,541.53 × 930.08
  4. Step 4: Simplify right side
    1,115.98x = 1,433,751.24
  5. Step 5: Solve for x
    x = 1,433,751.24/1,115.98
  6. Step 6: Final answer
    x = 1,284.75

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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.