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Finding the Fourth Proportional to 1,473.82, 2,209.65 and 824.74

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Solution

The fourth proportional to 1,473.82, 2,209.65 and 824.74 is: 1,236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.82 : 2,209.65 = 824.74 : x
  2. Step 2: Convert to fraction form
    1,473.82/2,209.65 = 824.74/x
  3. Step 3: Cross multiply
    1,473.82x = 2,209.65 × 824.74
  4. Step 4: Simplify right side
    1,473.82x = 1,822,386.74
  5. Step 5: Solve for x
    x = 1,822,386.74/1,473.82
  6. Step 6: Final answer
    x = 1,236.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.