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Finding the Fourth Proportional to 710.10, 1,064.14 and 276.75

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Solution

The fourth proportional to 710.10, 1,064.14 and 276.75 is: 414.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.10 : 1,064.14 = 276.75 : x
  2. Step 2: Convert to fraction form
    710.10/1,064.14 = 276.75/x
  3. Step 3: Cross multiply
    710.10x = 1,064.14 × 276.75
  4. Step 4: Simplify right side
    710.10x = 294,500.05
  5. Step 5: Solve for x
    x = 294,500.05/710.10
  6. Step 6: Final answer
    x = 414.73

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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.