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Finding the Fourth Proportional to 1,346.47, 2,020.21 and 525.31

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Solution

The fourth proportional to 1,346.47, 2,020.21 and 525.31 is: 788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.47 : 2,020.21 = 525.31 : x
  2. Step 2: Convert to fraction form
    1,346.47/2,020.21 = 525.31/x
  3. Step 3: Cross multiply
    1,346.47x = 2,020.21 × 525.31
  4. Step 4: Simplify right side
    1,346.47x = 1,061,230.15
  5. Step 5: Solve for x
    x = 1,061,230.15/1,346.47
  6. Step 6: Final answer
    x = 788.16

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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.