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Finding the Fourth Proportional to 1,112.13, 1,534.87 and 646.38

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Solution

The fourth proportional to 1,112.13, 1,534.87 and 646.38 is: 892.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.13 : 1,534.87 = 646.38 : x
  2. Step 2: Convert to fraction form
    1,112.13/1,534.87 = 646.38/x
  3. Step 3: Cross multiply
    1,112.13x = 1,534.87 × 646.38
  4. Step 4: Simplify right side
    1,112.13x = 992,109.27
  5. Step 5: Solve for x
    x = 992,109.27/1,112.13
  6. Step 6: Final answer
    x = 892.08

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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.