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Finding the Fourth Proportional to 875.54, 1,208.74 and 577.65

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Solution

The fourth proportional to 875.54, 1,208.74 and 577.65 is: 797.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.54 : 1,208.74 = 577.65 : x
  2. Step 2: Convert to fraction form
    875.54/1,208.74 = 577.65/x
  3. Step 3: Cross multiply
    875.54x = 1,208.74 × 577.65
  4. Step 4: Simplify right side
    875.54x = 698,222.68
  5. Step 5: Solve for x
    x = 698,222.68/875.54
  6. Step 6: Final answer
    x = 797.48

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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.