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Finding the Fourth Proportional to 875.32, 1,208.09 and 613.15

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Solution

The fourth proportional to 875.32, 1,208.09 and 613.15 is: 846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.32 : 1,208.09 = 613.15 : x
  2. Step 2: Convert to fraction form
    875.32/1,208.09 = 613.15/x
  3. Step 3: Cross multiply
    875.32x = 1,208.09 × 613.15
  4. Step 4: Simplify right side
    875.32x = 740,740.38
  5. Step 5: Solve for x
    x = 740,740.38/875.32
  6. Step 6: Final answer
    x = 846.25

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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.