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Finding the Fourth Proportional to 1,346.14, 2,017.72 and 524.26

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Solution

The fourth proportional to 1,346.14, 2,017.72 and 524.26 is: 785.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.14 : 2,017.72 = 524.26 : x
  2. Step 2: Convert to fraction form
    1,346.14/2,017.72 = 524.26/x
  3. Step 3: Cross multiply
    1,346.14x = 2,017.72 × 524.26
  4. Step 4: Simplify right side
    1,346.14x = 1,057,809.89
  5. Step 5: Solve for x
    x = 1,057,809.89/1,346.14
  6. Step 6: Final answer
    x = 785.81

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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.