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Finding the Fourth Proportional to 821.69, 1,133.95 and 448.69

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Solution

The fourth proportional to 821.69, 1,133.95 and 448.69 is: 619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.69 : 1,133.95 = 448.69 : x
  2. Step 2: Convert to fraction form
    821.69/1,133.95 = 448.69/x
  3. Step 3: Cross multiply
    821.69x = 1,133.95 × 448.69
  4. Step 4: Simplify right side
    821.69x = 508,788.07
  5. Step 5: Solve for x
    x = 508,788.07/821.69
  6. Step 6: Final answer
    x = 619.20

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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.