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Finding the Fourth Proportional to 1,007.48, 1,389.96 and 658.37

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Solution

The fourth proportional to 1,007.48, 1,389.96 and 658.37 is: 908.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.48 : 1,389.96 = 658.37 : x
  2. Step 2: Convert to fraction form
    1,007.48/1,389.96 = 658.37/x
  3. Step 3: Cross multiply
    1,007.48x = 1,389.96 × 658.37
  4. Step 4: Simplify right side
    1,007.48x = 915,101.02
  5. Step 5: Solve for x
    x = 915,101.02/1,007.48
  6. Step 6: Final answer
    x = 908.31

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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.