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Finding the Fourth Proportional to 1,117.02, 1,673.85 and 884.97

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Solution

The fourth proportional to 1,117.02, 1,673.85 and 884.97 is: 1,326.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.02 : 1,673.85 = 884.97 : x
  2. Step 2: Convert to fraction form
    1,117.02/1,673.85 = 884.97/x
  3. Step 3: Cross multiply
    1,117.02x = 1,673.85 × 884.97
  4. Step 4: Simplify right side
    1,117.02x = 1,481,307.03
  5. Step 5: Solve for x
    x = 1,481,307.03/1,117.02
  6. Step 6: Final answer
    x = 1,326.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.