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Finding the Fourth Proportional to 814.80, 1,127.34 and 711.60

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Solution

The fourth proportional to 814.80, 1,127.34 and 711.60 is: 984.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.80 : 1,127.34 = 711.60 : x
  2. Step 2: Convert to fraction form
    814.80/1,127.34 = 711.60/x
  3. Step 3: Cross multiply
    814.80x = 1,127.34 × 711.60
  4. Step 4: Simplify right side
    814.80x = 802,215.14
  5. Step 5: Solve for x
    x = 802,215.14/814.80
  6. Step 6: Final answer
    x = 984.55

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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.