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Finding the Fourth Proportional to 1,133.96, 1,565.55 and 735.80

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Solution

The fourth proportional to 1,133.96, 1,565.55 and 735.80 is: 1,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.96 : 1,565.55 = 735.80 : x
  2. Step 2: Convert to fraction form
    1,133.96/1,565.55 = 735.80/x
  3. Step 3: Cross multiply
    1,133.96x = 1,565.55 × 735.80
  4. Step 4: Simplify right side
    1,133.96x = 1,151,923.86
  5. Step 5: Solve for x
    x = 1,151,923.86/1,133.96
  6. Step 6: Final answer
    x = 1,015.85

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