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Finding the Fourth Proportional to 875.99, 1,208.44 and 521.75

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Solution

The fourth proportional to 875.99, 1,208.44 and 521.75 is: 719.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.99 : 1,208.44 = 521.75 : x
  2. Step 2: Convert to fraction form
    875.99/1,208.44 = 521.75/x
  3. Step 3: Cross multiply
    875.99x = 1,208.44 × 521.75
  4. Step 4: Simplify right side
    875.99x = 630,503.57
  5. Step 5: Solve for x
    x = 630,503.57/875.99
  6. Step 6: Final answer
    x = 719.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.