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Finding the Fourth Proportional to 788.58, 1,088.64 and 493.74

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Solution

The fourth proportional to 788.58, 1,088.64 and 493.74 is: 681.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.58 : 1,088.64 = 493.74 : x
  2. Step 2: Convert to fraction form
    788.58/1,088.64 = 493.74/x
  3. Step 3: Cross multiply
    788.58x = 1,088.64 × 493.74
  4. Step 4: Simplify right side
    788.58x = 537,505.11
  5. Step 5: Solve for x
    x = 537,505.11/788.58
  6. Step 6: Final answer
    x = 681.61

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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.