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Finding the Fourth Proportional to 628.83, 943.25 and 587.82

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Solution

The fourth proportional to 628.83, 943.25 and 587.82 is: 881.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.83 : 943.25 = 587.82 : x
  2. Step 2: Convert to fraction form
    628.83/943.25 = 587.82/x
  3. Step 3: Cross multiply
    628.83x = 943.25 × 587.82
  4. Step 4: Simplify right side
    628.83x = 554,461.81
  5. Step 5: Solve for x
    x = 554,461.81/628.83
  6. Step 6: Final answer
    x = 881.74

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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.