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Finding the Fourth Proportional to 1,253.03, 1,728.05 and 854.51

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Solution

The fourth proportional to 1,253.03, 1,728.05 and 854.51 is: 1,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.03 : 1,728.05 = 854.51 : x
  2. Step 2: Convert to fraction form
    1,253.03/1,728.05 = 854.51/x
  3. Step 3: Cross multiply
    1,253.03x = 1,728.05 × 854.51
  4. Step 4: Simplify right side
    1,253.03x = 1,476,623.09
  5. Step 5: Solve for x
    x = 1,476,623.09/1,253.03
  6. Step 6: Final answer
    x = 1,178.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.