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Finding the Fourth Proportional to 875.84, 1,208.70 and 521.78

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Solution

The fourth proportional to 875.84, 1,208.70 and 521.78 is: 720.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.84 : 1,208.70 = 521.78 : x
  2. Step 2: Convert to fraction form
    875.84/1,208.70 = 521.78/x
  3. Step 3: Cross multiply
    875.84x = 1,208.70 × 521.78
  4. Step 4: Simplify right side
    875.84x = 630,669.44
  5. Step 5: Solve for x
    x = 630,669.44/875.84
  6. Step 6: Final answer
    x = 720.08

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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.