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Finding the Fourth Proportional to 1,051.52, 1,450.14 and 658.58

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Solution

The fourth proportional to 1,051.52, 1,450.14 and 658.58 is: 908.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.52 : 1,450.14 = 658.58 : x
  2. Step 2: Convert to fraction form
    1,051.52/1,450.14 = 658.58/x
  3. Step 3: Cross multiply
    1,051.52x = 1,450.14 × 658.58
  4. Step 4: Simplify right side
    1,051.52x = 955,033.20
  5. Step 5: Solve for x
    x = 955,033.20/1,051.52
  6. Step 6: Final answer
    x = 908.24

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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.