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Finding the Fourth Proportional to 1,470.76, 2,027.62 and 1,248.84

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Solution

The fourth proportional to 1,470.76, 2,027.62 and 1,248.84 is: 1,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.76 : 2,027.62 = 1,248.84 : x
  2. Step 2: Convert to fraction form
    1,470.76/2,027.62 = 1,248.84/x
  3. Step 3: Cross multiply
    1,470.76x = 2,027.62 × 1,248.84
  4. Step 4: Simplify right side
    1,470.76x = 2,532,172.96
  5. Step 5: Solve for x
    x = 2,532,172.96/1,470.76
  6. Step 6: Final answer
    x = 1,721.68

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Half scale
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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.