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Finding the Fourth Proportional to 1,112.56, 1,535.64 and 646.96

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Solution

The fourth proportional to 1,112.56, 1,535.64 and 646.96 is: 892.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.56 : 1,535.64 = 646.96 : x
  2. Step 2: Convert to fraction form
    1,112.56/1,535.64 = 646.96/x
  3. Step 3: Cross multiply
    1,112.56x = 1,535.64 × 646.96
  4. Step 4: Simplify right side
    1,112.56x = 993,497.65
  5. Step 5: Solve for x
    x = 993,497.65/1,112.56
  6. Step 6: Final answer
    x = 892.98

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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.