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Finding the Fourth Proportional to 1,370.64, 2,054.70 and 548.40

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Solution

The fourth proportional to 1,370.64, 2,054.70 and 548.40 is: 822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.64 : 2,054.70 = 548.40 : x
  2. Step 2: Convert to fraction form
    1,370.64/2,054.70 = 548.40/x
  3. Step 3: Cross multiply
    1,370.64x = 2,054.70 × 548.40
  4. Step 4: Simplify right side
    1,370.64x = 1,126,797.48
  5. Step 5: Solve for x
    x = 1,126,797.48/1,370.64
  6. Step 6: Final answer
    x = 822.10

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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.