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Finding the Fourth Proportional to 1,727.78, 2,592.32 and 632.89

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Solution

The fourth proportional to 1,727.78, 2,592.32 and 632.89 is: 949.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.78 : 2,592.32 = 632.89 : x
  2. Step 2: Convert to fraction form
    1,727.78/2,592.32 = 632.89/x
  3. Step 3: Cross multiply
    1,727.78x = 2,592.32 × 632.89
  4. Step 4: Simplify right side
    1,727.78x = 1,640,643.76
  5. Step 5: Solve for x
    x = 1,640,643.76/1,727.78
  6. Step 6: Final answer
    x = 949.57

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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.