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Finding the Fourth Proportional to 709.84, 1,064.66 and 276.96

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Solution

The fourth proportional to 709.84, 1,064.66 and 276.96 is: 415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.84 : 1,064.66 = 276.96 : x
  2. Step 2: Convert to fraction form
    709.84/1,064.66 = 276.96/x
  3. Step 3: Cross multiply
    709.84x = 1,064.66 × 276.96
  4. Step 4: Simplify right side
    709.84x = 294,868.23
  5. Step 5: Solve for x
    x = 294,868.23/709.84
  6. Step 6: Final answer
    x = 415.40

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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.