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Finding the Fourth Proportional to 740.98, 1,106.96 and 531.08

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Solution

The fourth proportional to 740.98, 1,106.96 and 531.08 is: 793.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.98 : 1,106.96 = 531.08 : x
  2. Step 2: Convert to fraction form
    740.98/1,106.96 = 531.08/x
  3. Step 3: Cross multiply
    740.98x = 1,106.96 × 531.08
  4. Step 4: Simplify right side
    740.98x = 587,884.32
  5. Step 5: Solve for x
    x = 587,884.32/740.98
  6. Step 6: Final answer
    x = 793.39

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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.