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Finding the Fourth Proportional to 821.32, 1,133.42 and 448.30

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Solution

The fourth proportional to 821.32, 1,133.42 and 448.30 is: 618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.32 : 1,133.42 = 448.30 : x
  2. Step 2: Convert to fraction form
    821.32/1,133.42 = 448.30/x
  3. Step 3: Cross multiply
    821.32x = 1,133.42 × 448.30
  4. Step 4: Simplify right side
    821.32x = 508,112.19
  5. Step 5: Solve for x
    x = 508,112.19/821.32
  6. Step 6: Final answer
    x = 618.65

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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.