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Finding the Fourth Proportional to 1,164.13, 1,746.12 and 342.45

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Solution

The fourth proportional to 1,164.13, 1,746.12 and 342.45 is: 513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.13 : 1,746.12 = 342.45 : x
  2. Step 2: Convert to fraction form
    1,164.13/1,746.12 = 342.45/x
  3. Step 3: Cross multiply
    1,164.13x = 1,746.12 × 342.45
  4. Step 4: Simplify right side
    1,164.13x = 597,958.79
  5. Step 5: Solve for x
    x = 597,958.79/1,164.13
  6. Step 6: Final answer
    x = 513.65

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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.