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Finding the Fourth Proportional to 839.52, 1,157.84 and 603.54

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Solution

The fourth proportional to 839.52, 1,157.84 and 603.54 is: 832.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.52 : 1,157.84 = 603.54 : x
  2. Step 2: Convert to fraction form
    839.52/1,157.84 = 603.54/x
  3. Step 3: Cross multiply
    839.52x = 1,157.84 × 603.54
  4. Step 4: Simplify right side
    839.52x = 698,802.75
  5. Step 5: Solve for x
    x = 698,802.75/839.52
  6. Step 6: Final answer
    x = 832.38

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1.5x scale

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.