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Finding the Fourth Proportional to 878.20, 1,210.08 and 597.94

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Solution

The fourth proportional to 878.20, 1,210.08 and 597.94 is: 823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.20 : 1,210.08 = 597.94 : x
  2. Step 2: Convert to fraction form
    878.20/1,210.08 = 597.94/x
  3. Step 3: Cross multiply
    878.20x = 1,210.08 × 597.94
  4. Step 4: Simplify right side
    878.20x = 723,555.24
  5. Step 5: Solve for x
    x = 723,555.24/878.20
  6. Step 6: Final answer
    x = 823.91

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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.