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Finding the Fourth Proportional to 788.82, 1,088.47 and 494.18

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Solution

The fourth proportional to 788.82, 1,088.47 and 494.18 is: 681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.82 : 1,088.47 = 494.18 : x
  2. Step 2: Convert to fraction form
    788.82/1,088.47 = 494.18/x
  3. Step 3: Cross multiply
    788.82x = 1,088.47 × 494.18
  4. Step 4: Simplify right side
    788.82x = 537,900.10
  5. Step 5: Solve for x
    x = 537,900.10/788.82
  6. Step 6: Final answer
    x = 681.90

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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.