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Finding the Fourth Proportional to 877.20, 1,210.74 and 582.48

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Solution

The fourth proportional to 877.20, 1,210.74 and 582.48 is: 803.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.20 : 1,210.74 = 582.48 : x
  2. Step 2: Convert to fraction form
    877.20/1,210.74 = 582.48/x
  3. Step 3: Cross multiply
    877.20x = 1,210.74 × 582.48
  4. Step 4: Simplify right side
    877.20x = 705,231.84
  5. Step 5: Solve for x
    x = 705,231.84/877.20
  6. Step 6: Final answer
    x = 803.96

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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.