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Finding the Fourth Proportional to 1,342.61, 2,013.66 and 465.11

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Solution

The fourth proportional to 1,342.61, 2,013.66 and 465.11 is: 697.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.61 : 2,013.66 = 465.11 : x
  2. Step 2: Convert to fraction form
    1,342.61/2,013.66 = 465.11/x
  3. Step 3: Cross multiply
    1,342.61x = 2,013.66 × 465.11
  4. Step 4: Simplify right side
    1,342.61x = 936,563.33
  5. Step 5: Solve for x
    x = 936,563.33/1,342.61
  6. Step 6: Final answer
    x = 697.57

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Why These Related Problems?

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