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Finding the Fourth Proportional to 788.49, 1,088.64 and 490.07

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Solution

The fourth proportional to 788.49, 1,088.64 and 490.07 is: 676.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.49 : 1,088.64 = 490.07 : x
  2. Step 2: Convert to fraction form
    788.49/1,088.64 = 490.07/x
  3. Step 3: Cross multiply
    788.49x = 1,088.64 × 490.07
  4. Step 4: Simplify right side
    788.49x = 533,512.53
  5. Step 5: Solve for x
    x = 533,512.53/788.49
  6. Step 6: Final answer
    x = 676.63

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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.