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Finding the Fourth Proportional to 709.10, 1,064.58 and 546.92

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Solution

The fourth proportional to 709.10, 1,064.58 and 546.92 is: 821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.10 : 1,064.58 = 546.92 : x
  2. Step 2: Convert to fraction form
    709.10/1,064.58 = 546.92/x
  3. Step 3: Cross multiply
    709.10x = 1,064.58 × 546.92
  4. Step 4: Simplify right side
    709.10x = 582,240.09
  5. Step 5: Solve for x
    x = 582,240.09/709.10
  6. Step 6: Final answer
    x = 821.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.