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Finding the Fourth Proportional to 722.40, 1,003.63 and 713.76

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Solution

The fourth proportional to 722.40, 1,003.63 and 713.76 is: 991.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.40 : 1,003.63 = 713.76 : x
  2. Step 2: Convert to fraction form
    722.40/1,003.63 = 713.76/x
  3. Step 3: Cross multiply
    722.40x = 1,003.63 × 713.76
  4. Step 4: Simplify right side
    722.40x = 716,350.95
  5. Step 5: Solve for x
    x = 716,350.95/722.40
  6. Step 6: Final answer
    x = 991.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.