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Finding the Fourth Proportional to 1,325.97, 1,828.47 and 853.77

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Solution

The fourth proportional to 1,325.97, 1,828.47 and 853.77 is: 1,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.97 : 1,828.47 = 853.77 : x
  2. Step 2: Convert to fraction form
    1,325.97/1,828.47 = 853.77/x
  3. Step 3: Cross multiply
    1,325.97x = 1,828.47 × 853.77
  4. Step 4: Simplify right side
    1,325.97x = 1,561,092.83
  5. Step 5: Solve for x
    x = 1,561,092.83/1,325.97
  6. Step 6: Final answer
    x = 1,177.32

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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.