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Finding the Fourth Proportional to 792.02, 1,187.88 and 214.76

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Solution

The fourth proportional to 792.02, 1,187.88 and 214.76 is: 322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.02 : 1,187.88 = 214.76 : x
  2. Step 2: Convert to fraction form
    792.02/1,187.88 = 214.76/x
  3. Step 3: Cross multiply
    792.02x = 1,187.88 × 214.76
  4. Step 4: Simplify right side
    792.02x = 255,109.11
  5. Step 5: Solve for x
    x = 255,109.11/792.02
  6. Step 6: Final answer
    x = 322.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.