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Finding the Fourth Proportional to 1,440.48, 1,987.68 and 819.48

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Solution

The fourth proportional to 1,440.48, 1,987.68 and 819.48 is: 1,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.48 : 1,987.68 = 819.48 : x
  2. Step 2: Convert to fraction form
    1,440.48/1,987.68 = 819.48/x
  3. Step 3: Cross multiply
    1,440.48x = 1,987.68 × 819.48
  4. Step 4: Simplify right side
    1,440.48x = 1,628,864.01
  5. Step 5: Solve for x
    x = 1,628,864.01/1,440.48
  6. Step 6: Final answer
    x = 1,130.78

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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.