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Finding the Fourth Proportional to 877.09, 1,210.29 and 484.09

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Solution

The fourth proportional to 877.09, 1,210.29 and 484.09 is: 667.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.09 : 1,210.29 = 484.09 : x
  2. Step 2: Convert to fraction form
    877.09/1,210.29 = 484.09/x
  3. Step 3: Cross multiply
    877.09x = 1,210.29 × 484.09
  4. Step 4: Simplify right side
    877.09x = 585,889.29
  5. Step 5: Solve for x
    x = 585,889.29/877.09
  6. Step 6: Final answer
    x = 667.99

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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.