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Finding the Fourth Proportional to 1,111.88, 1,534.40 and 646.13

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Solution

The fourth proportional to 1,111.88, 1,534.40 and 646.13 is: 891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.88 : 1,534.40 = 646.13 : x
  2. Step 2: Convert to fraction form
    1,111.88/1,534.40 = 646.13/x
  3. Step 3: Cross multiply
    1,111.88x = 1,534.40 × 646.13
  4. Step 4: Simplify right side
    1,111.88x = 991,410.97
  5. Step 5: Solve for x
    x = 991,410.97/1,111.88
  6. Step 6: Final answer
    x = 891.66

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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.