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Finding the Fourth Proportional to 877.50, 1,210.41 and 582.66

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Solution

The fourth proportional to 877.50, 1,210.41 and 582.66 is: 803.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.50 : 1,210.41 = 582.66 : x
  2. Step 2: Convert to fraction form
    877.50/1,210.41 = 582.66/x
  3. Step 3: Cross multiply
    877.50x = 1,210.41 × 582.66
  4. Step 4: Simplify right side
    877.50x = 705,257.49
  5. Step 5: Solve for x
    x = 705,257.49/877.50
  6. Step 6: Final answer
    x = 803.71

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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.