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Finding the Fourth Proportional to 1,111.76, 1,534.24 and 646

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Solution

The fourth proportional to 1,111.76, 1,534.24 and 646 is: 891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.76 : 1,534.24 = 646 : x
  2. Step 2: Convert to fraction form
    1,111.76/1,534.24 = 646/x
  3. Step 3: Cross multiply
    1,111.76x = 1,534.24 × 646
  4. Step 4: Simplify right side
    1,111.76x = 991,119.04
  5. Step 5: Solve for x
    x = 991,119.04/1,111.76
  6. Step 6: Final answer
    x = 891.49

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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.