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Finding the Fourth Proportional to 1,164.15, 1,746.49 and 835.22

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Solution

The fourth proportional to 1,164.15, 1,746.49 and 835.22 is: 1,253.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.15 : 1,746.49 = 835.22 : x
  2. Step 2: Convert to fraction form
    1,164.15/1,746.49 = 835.22/x
  3. Step 3: Cross multiply
    1,164.15x = 1,746.49 × 835.22
  4. Step 4: Simplify right side
    1,164.15x = 1,458,703.38
  5. Step 5: Solve for x
    x = 1,458,703.38/1,164.15
  6. Step 6: Final answer
    x = 1,253.02

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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.