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Finding the Fourth Proportional to 792.34, 1,188.54 and 402.53

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Solution

The fourth proportional to 792.34, 1,188.54 and 402.53 is: 603.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.34 : 1,188.54 = 402.53 : x
  2. Step 2: Convert to fraction form
    792.34/1,188.54 = 402.53/x
  3. Step 3: Cross multiply
    792.34x = 1,188.54 × 402.53
  4. Step 4: Simplify right side
    792.34x = 478,417.06
  5. Step 5: Solve for x
    x = 478,417.06/792.34
  6. Step 6: Final answer
    x = 603.80

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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.