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Finding the Fourth Proportional to 790.92, 1,090.86 and 525.48

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Solution

The fourth proportional to 790.92, 1,090.86 and 525.48 is: 724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.92 : 1,090.86 = 525.48 : x
  2. Step 2: Convert to fraction form
    790.92/1,090.86 = 525.48/x
  3. Step 3: Cross multiply
    790.92x = 1,090.86 × 525.48
  4. Step 4: Simplify right side
    790.92x = 573,225.11
  5. Step 5: Solve for x
    x = 573,225.11/790.92
  6. Step 6: Final answer
    x = 724.76

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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.