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Finding the Fourth Proportional to 1,111.72, 1,534.26 and 646.04

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Solution

The fourth proportional to 1,111.72, 1,534.26 and 646.04 is: 891.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.72 : 1,534.26 = 646.04 : x
  2. Step 2: Convert to fraction form
    1,111.72/1,534.26 = 646.04/x
  3. Step 3: Cross multiply
    1,111.72x = 1,534.26 × 646.04
  4. Step 4: Simplify right side
    1,111.72x = 991,193.33
  5. Step 5: Solve for x
    x = 991,193.33/1,111.72
  6. Step 6: Final answer
    x = 891.59

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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.