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Finding the Fourth Proportional to 1,637.55, 2,455.89 and 804.20

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Solution

The fourth proportional to 1,637.55, 2,455.89 and 804.20 is: 1,206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.55 : 2,455.89 = 804.20 : x
  2. Step 2: Convert to fraction form
    1,637.55/2,455.89 = 804.20/x
  3. Step 3: Cross multiply
    1,637.55x = 2,455.89 × 804.20
  4. Step 4: Simplify right side
    1,637.55x = 1,975,011.44
  5. Step 5: Solve for x
    x = 1,975,011.44/1,637.55
  6. Step 6: Final answer
    x = 1,206.08

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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.