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Finding the Fourth Proportional to 878.88, 1,214.32 and 693.79

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Solution

The fourth proportional to 878.88, 1,214.32 and 693.79 is: 958.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.88 : 1,214.32 = 693.79 : x
  2. Step 2: Convert to fraction form
    878.88/1,214.32 = 693.79/x
  3. Step 3: Cross multiply
    878.88x = 1,214.32 × 693.79
  4. Step 4: Simplify right side
    878.88x = 842,473.53
  5. Step 5: Solve for x
    x = 842,473.53/878.88
  6. Step 6: Final answer
    x = 958.58

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1.5x scale

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.