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Finding the Fourth Proportional to 814.34, 1,124.33 and 709.44

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Solution

The fourth proportional to 814.34, 1,124.33 and 709.44 is: 979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.34 : 1,124.33 = 709.44 : x
  2. Step 2: Convert to fraction form
    814.34/1,124.33 = 709.44/x
  3. Step 3: Cross multiply
    814.34x = 1,124.33 × 709.44
  4. Step 4: Simplify right side
    814.34x = 797,641.13
  5. Step 5: Solve for x
    x = 797,641.13/814.34
  6. Step 6: Final answer
    x = 979.50

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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.