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Finding the Fourth Proportional to 648.68, 894.04 and 497.00

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Solution

The fourth proportional to 648.68, 894.04 and 497.00 is: 684.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.68 : 894.04 = 497.00 : x
  2. Step 2: Convert to fraction form
    648.68/894.04 = 497.00/x
  3. Step 3: Cross multiply
    648.68x = 894.04 × 497.00
  4. Step 4: Simplify right side
    648.68x = 444,338.87
  5. Step 5: Solve for x
    x = 444,338.87/648.68
  6. Step 6: Final answer
    x = 684.99

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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.