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Finding the Fourth Proportional to 1,412.85, 1,950.68 and 882.54

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Solution

The fourth proportional to 1,412.85, 1,950.68 and 882.54 is: 1,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.85 : 1,950.68 = 882.54 : x
  2. Step 2: Convert to fraction form
    1,412.85/1,950.68 = 882.54/x
  3. Step 3: Cross multiply
    1,412.85x = 1,950.68 × 882.54
  4. Step 4: Simplify right side
    1,412.85x = 1,721,553.13
  5. Step 5: Solve for x
    x = 1,721,553.13/1,412.85
  6. Step 6: Final answer
    x = 1,218.50

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1.5x scale

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.