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Finding the Fourth Proportional to 1,346.09, 2,018.60 and 524.25

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Solution

The fourth proportional to 1,346.09, 2,018.60 and 524.25 is: 786.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.09 : 2,018.60 = 524.25 : x
  2. Step 2: Convert to fraction form
    1,346.09/2,018.60 = 524.25/x
  3. Step 3: Cross multiply
    1,346.09x = 2,018.60 × 524.25
  4. Step 4: Simplify right side
    1,346.09x = 1,058,240.96
  5. Step 5: Solve for x
    x = 1,058,240.96/1,346.09
  6. Step 6: Final answer
    x = 786.16

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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.