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Finding the Fourth Proportional to 1,051.56, 1,449.63 and 735.84

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Solution

The fourth proportional to 1,051.56, 1,449.63 and 735.84 is: 1,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.56 : 1,449.63 = 735.84 : x
  2. Step 2: Convert to fraction form
    1,051.56/1,449.63 = 735.84/x
  3. Step 3: Cross multiply
    1,051.56x = 1,449.63 × 735.84
  4. Step 4: Simplify right side
    1,051.56x = 1,066,695.74
  5. Step 5: Solve for x
    x = 1,066,695.74/1,051.56
  6. Step 6: Final answer
    x = 1,014.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.