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Finding the Fourth Proportional to 788.37, 1,088.03 and 493.73

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Solution

The fourth proportional to 788.37, 1,088.03 and 493.73 is: 681.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.37 : 1,088.03 = 493.73 : x
  2. Step 2: Convert to fraction form
    788.37/1,088.03 = 493.73/x
  3. Step 3: Cross multiply
    788.37x = 1,088.03 × 493.73
  4. Step 4: Simplify right side
    788.37x = 537,192.93
  5. Step 5: Solve for x
    x = 537,192.93/788.37
  6. Step 6: Final answer
    x = 681.40

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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.