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Finding the Fourth Proportional to 877.09, 1,315.88 and 466.16

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Solution

The fourth proportional to 877.09, 1,315.88 and 466.16 is: 699.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.09 : 1,315.88 = 466.16 : x
  2. Step 2: Convert to fraction form
    877.09/1,315.88 = 466.16/x
  3. Step 3: Cross multiply
    877.09x = 1,315.88 × 466.16
  4. Step 4: Simplify right side
    877.09x = 613,410.62
  5. Step 5: Solve for x
    x = 613,410.62/877.09
  6. Step 6: Final answer
    x = 699.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.