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Finding the Fourth Proportional to 1,112.63, 1,535.56 and 646.88

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Solution

The fourth proportional to 1,112.63, 1,535.56 and 646.88 is: 892.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.63 : 1,535.56 = 646.88 : x
  2. Step 2: Convert to fraction form
    1,112.63/1,535.56 = 646.88/x
  3. Step 3: Cross multiply
    1,112.63x = 1,535.56 × 646.88
  4. Step 4: Simplify right side
    1,112.63x = 993,313.76
  5. Step 5: Solve for x
    x = 993,313.76/1,112.63
  6. Step 6: Final answer
    x = 892.77

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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.