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Finding the Fourth Proportional to 875.69, 1,208.34 and 595.83

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Solution

The fourth proportional to 875.69, 1,208.34 and 595.83 is: 822.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.69 : 1,208.34 = 595.83 : x
  2. Step 2: Convert to fraction form
    875.69/1,208.34 = 595.83/x
  3. Step 3: Cross multiply
    875.69x = 1,208.34 × 595.83
  4. Step 4: Simplify right side
    875.69x = 719,968.03
  5. Step 5: Solve for x
    x = 719,968.03/875.69
  6. Step 6: Final answer
    x = 822.18

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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.