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Finding the Fourth Proportional to 710.82, 1,065.98 and 451.10

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Solution

The fourth proportional to 710.82, 1,065.98 and 451.10 is: 676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.82 : 1,065.98 = 451.10 : x
  2. Step 2: Convert to fraction form
    710.82/1,065.98 = 451.10/x
  3. Step 3: Cross multiply
    710.82x = 1,065.98 × 451.10
  4. Step 4: Simplify right side
    710.82x = 480,867.37
  5. Step 5: Solve for x
    x = 480,867.37/710.82
  6. Step 6: Final answer
    x = 676.50

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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.