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Finding the Fourth Proportional to 1,164.27, 1,737.33 and 1,060.77

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Solution

The fourth proportional to 1,164.27, 1,737.33 and 1,060.77 is: 1,582.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.27 : 1,737.33 = 1,060.77 : x
  2. Step 2: Convert to fraction form
    1,164.27/1,737.33 = 1,060.77/x
  3. Step 3: Cross multiply
    1,164.27x = 1,737.33 × 1,060.77
  4. Step 4: Simplify right side
    1,164.27x = 1,842,907.54
  5. Step 5: Solve for x
    x = 1,842,907.54/1,164.27
  6. Step 6: Final answer
    x = 1,582.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.