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Finding the Fourth Proportional to 845.17, 1,165.47 and 658.33

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Solution

The fourth proportional to 845.17, 1,165.47 and 658.33 is: 907.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.17 : 1,165.47 = 658.33 : x
  2. Step 2: Convert to fraction form
    845.17/1,165.47 = 658.33/x
  3. Step 3: Cross multiply
    845.17x = 1,165.47 × 658.33
  4. Step 4: Simplify right side
    845.17x = 767,263.87
  5. Step 5: Solve for x
    x = 767,263.87/845.17
  6. Step 6: Final answer
    x = 907.82

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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.