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Finding the Fourth Proportional to 1,669.24, 2,503.74 and 744.88

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Solution

The fourth proportional to 1,669.24, 2,503.74 and 744.88 is: 1,117.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.24 : 2,503.74 = 744.88 : x
  2. Step 2: Convert to fraction form
    1,669.24/2,503.74 = 744.88/x
  3. Step 3: Cross multiply
    1,669.24x = 2,503.74 × 744.88
  4. Step 4: Simplify right side
    1,669.24x = 1,864,985.85
  5. Step 5: Solve for x
    x = 1,864,985.85/1,669.24
  6. Step 6: Final answer
    x = 1,117.27

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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.