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Finding the Fourth Proportional to 1,008.04, 1,391.07 and 713.80

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Solution

The fourth proportional to 1,008.04, 1,391.07 and 713.80 is: 985.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.04 : 1,391.07 = 713.80 : x
  2. Step 2: Convert to fraction form
    1,008.04/1,391.07 = 713.80/x
  3. Step 3: Cross multiply
    1,008.04x = 1,391.07 × 713.80
  4. Step 4: Simplify right side
    1,008.04x = 992,945.77
  5. Step 5: Solve for x
    x = 992,945.77/1,008.04
  6. Step 6: Final answer
    x = 985.03

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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.