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Finding the Fourth Proportional to 1,449.34, 2,174.18 and 525.33

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Solution

The fourth proportional to 1,449.34, 2,174.18 and 525.33 is: 788.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.34 : 2,174.18 = 525.33 : x
  2. Step 2: Convert to fraction form
    1,449.34/2,174.18 = 525.33/x
  3. Step 3: Cross multiply
    1,449.34x = 2,174.18 × 525.33
  4. Step 4: Simplify right side
    1,449.34x = 1,142,159.35
  5. Step 5: Solve for x
    x = 1,142,159.35/1,449.34
  6. Step 6: Final answer
    x = 788.06

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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.