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Finding the Fourth Proportional to 1,051.27, 1,450.75 and 652.79

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Solution

The fourth proportional to 1,051.27, 1,450.75 and 652.79 is: 900.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.27 : 1,450.75 = 652.79 : x
  2. Step 2: Convert to fraction form
    1,051.27/1,450.75 = 652.79/x
  3. Step 3: Cross multiply
    1,051.27x = 1,450.75 × 652.79
  4. Step 4: Simplify right side
    1,051.27x = 947,027.84
  5. Step 5: Solve for x
    x = 947,027.84/1,051.27
  6. Step 6: Final answer
    x = 900.84

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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.