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Finding the Fourth Proportional to 1,164.07, 1,745.67 and 470.55

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Solution

The fourth proportional to 1,164.07, 1,745.67 and 470.55 is: 705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.07 : 1,745.67 = 470.55 : x
  2. Step 2: Convert to fraction form
    1,164.07/1,745.67 = 470.55/x
  3. Step 3: Cross multiply
    1,164.07x = 1,745.67 × 470.55
  4. Step 4: Simplify right side
    1,164.07x = 821,425.02
  5. Step 5: Solve for x
    x = 821,425.02/1,164.07
  6. Step 6: Final answer
    x = 705.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.