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Finding the Fourth Proportional to 546.04, 823.97 and 526.74

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Solution

The fourth proportional to 546.04, 823.97 and 526.74 is: 794.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.04 : 823.97 = 526.74 : x
  2. Step 2: Convert to fraction form
    546.04/823.97 = 526.74/x
  3. Step 3: Cross multiply
    546.04x = 823.97 × 526.74
  4. Step 4: Simplify right side
    546.04x = 434,016.18
  5. Step 5: Solve for x
    x = 434,016.18/546.04
  6. Step 6: Final answer
    x = 794.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.