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Finding the Fourth Proportional to 821.42, 1,133.57 and 448.41

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Solution

The fourth proportional to 821.42, 1,133.57 and 448.41 is: 618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.42 : 1,133.57 = 448.41 : x
  2. Step 2: Convert to fraction form
    821.42/1,133.57 = 448.41/x
  3. Step 3: Cross multiply
    821.42x = 1,133.57 × 448.41
  4. Step 4: Simplify right side
    821.42x = 508,304.12
  5. Step 5: Solve for x
    x = 508,304.12/821.42
  6. Step 6: Final answer
    x = 618.81

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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.