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Finding the Fourth Proportional to 894.51, 1,233.14 and 658.04

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Solution

The fourth proportional to 894.51, 1,233.14 and 658.04 is: 907.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.51 : 1,233.14 = 658.04 : x
  2. Step 2: Convert to fraction form
    894.51/1,233.14 = 658.04/x
  3. Step 3: Cross multiply
    894.51x = 1,233.14 × 658.04
  4. Step 4: Simplify right side
    894.51x = 811,455.45
  5. Step 5: Solve for x
    x = 811,455.45/894.51
  6. Step 6: Final answer
    x = 907.15

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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.