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Finding the Fourth Proportional to 1,112.80, 1,666.96 and 882.08

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Solution

The fourth proportional to 1,112.80, 1,666.96 and 882.08 is: 1,321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.80 : 1,666.96 = 882.08 : x
  2. Step 2: Convert to fraction form
    1,112.80/1,666.96 = 882.08/x
  3. Step 3: Cross multiply
    1,112.80x = 1,666.96 × 882.08
  4. Step 4: Simplify right side
    1,112.80x = 1,470,392.08
  5. Step 5: Solve for x
    x = 1,470,392.08/1,112.80
  6. Step 6: Final answer
    x = 1,321.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.