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Finding the Fourth Proportional to 878.48, 1,210.74 and 657.05

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Solution

The fourth proportional to 878.48, 1,210.74 and 657.05 is: 905.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.48 : 1,210.74 = 657.05 : x
  2. Step 2: Convert to fraction form
    878.48/1,210.74 = 657.05/x
  3. Step 3: Cross multiply
    878.48x = 1,210.74 × 657.05
  4. Step 4: Simplify right side
    878.48x = 795,510.66
  5. Step 5: Solve for x
    x = 795,510.66/878.48
  6. Step 6: Final answer
    x = 905.56

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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.