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Finding the Fourth Proportional to 709.32, 1,064.10 and 276.50

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Solution

The fourth proportional to 709.32, 1,064.10 and 276.50 is: 414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.32 : 1,064.10 = 276.50 : x
  2. Step 2: Convert to fraction form
    709.32/1,064.10 = 276.50/x
  3. Step 3: Cross multiply
    709.32x = 1,064.10 × 276.50
  4. Step 4: Simplify right side
    709.32x = 294,223.65
  5. Step 5: Solve for x
    x = 294,223.65/709.32
  6. Step 6: Final answer
    x = 414.80

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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.