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Finding the Fourth Proportional to 1,748.72, 2,622.54 and 578.46

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Solution

The fourth proportional to 1,748.72, 2,622.54 and 578.46 is: 867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.72 : 2,622.54 = 578.46 : x
  2. Step 2: Convert to fraction form
    1,748.72/2,622.54 = 578.46/x
  3. Step 3: Cross multiply
    1,748.72x = 2,622.54 × 578.46
  4. Step 4: Simplify right side
    1,748.72x = 1,517,034.49
  5. Step 5: Solve for x
    x = 1,517,034.49/1,748.72
  6. Step 6: Final answer
    x = 867.51

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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.