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Finding the Fourth Proportional to 1,112.12, 1,534.92 and 646.40

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Solution

The fourth proportional to 1,112.12, 1,534.92 and 646.40 is: 892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.12 : 1,534.92 = 646.40 : x
  2. Step 2: Convert to fraction form
    1,112.12/1,534.92 = 646.40/x
  3. Step 3: Cross multiply
    1,112.12x = 1,534.92 × 646.40
  4. Step 4: Simplify right side
    1,112.12x = 992,172.29
  5. Step 5: Solve for x
    x = 992,172.29/1,112.12
  6. Step 6: Final answer
    x = 892.14

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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.