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Finding the Fourth Proportional to 877.56, 1,210.41 and 562.83

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Solution

The fourth proportional to 877.56, 1,210.41 and 562.83 is: 776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.56 : 1,210.41 = 562.83 : x
  2. Step 2: Convert to fraction form
    877.56/1,210.41 = 562.83/x
  3. Step 3: Cross multiply
    877.56x = 1,210.41 × 562.83
  4. Step 4: Simplify right side
    877.56x = 681,255.06
  5. Step 5: Solve for x
    x = 681,255.06/877.56
  6. Step 6: Final answer
    x = 776.31

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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.