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Finding the Fourth Proportional to 880.81, 1,216.01 and 601.45

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Solution

The fourth proportional to 880.81, 1,216.01 and 601.45 is: 830.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.81 : 1,216.01 = 601.45 : x
  2. Step 2: Convert to fraction form
    880.81/1,216.01 = 601.45/x
  3. Step 3: Cross multiply
    880.81x = 1,216.01 × 601.45
  4. Step 4: Simplify right side
    880.81x = 731,367.68
  5. Step 5: Solve for x
    x = 731,367.68/880.81
  6. Step 6: Final answer
    x = 830.34

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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.