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Finding the Fourth Proportional to 877.36, 1,210.20 and 541.18

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Solution

The fourth proportional to 877.36, 1,210.20 and 541.18 is: 746.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.36 : 1,210.20 = 541.18 : x
  2. Step 2: Convert to fraction form
    877.36/1,210.20 = 541.18/x
  3. Step 3: Cross multiply
    877.36x = 1,210.20 × 541.18
  4. Step 4: Simplify right side
    877.36x = 654,936.04
  5. Step 5: Solve for x
    x = 654,936.04/877.36
  6. Step 6: Final answer
    x = 746.48

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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.