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Finding the Fourth Proportional to 594.80, 820.52 and 547.40

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Solution

The fourth proportional to 594.80, 820.52 and 547.40 is: 755.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.80 : 820.52 = 547.40 : x
  2. Step 2: Convert to fraction form
    594.80/820.52 = 547.40/x
  3. Step 3: Cross multiply
    594.80x = 820.52 × 547.40
  4. Step 4: Simplify right side
    594.80x = 449,152.65
  5. Step 5: Solve for x
    x = 449,152.65/594.80
  6. Step 6: Final answer
    x = 755.13

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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.