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Finding the Fourth Proportional to 740.40, 1,104.06 and 716.64

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Solution

The fourth proportional to 740.40, 1,104.06 and 716.64 is: 1,068.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.40 : 1,104.06 = 716.64 : x
  2. Step 2: Convert to fraction form
    740.40/1,104.06 = 716.64/x
  3. Step 3: Cross multiply
    740.40x = 1,104.06 × 716.64
  4. Step 4: Simplify right side
    740.40x = 791,213.56
  5. Step 5: Solve for x
    x = 791,213.56/740.40
  6. Step 6: Final answer
    x = 1,068.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.