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Finding the Fourth Proportional to 787.29, 1,085.45 and 492.45

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Solution

The fourth proportional to 787.29, 1,085.45 and 492.45 is: 678.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.29 : 1,085.45 = 492.45 : x
  2. Step 2: Convert to fraction form
    787.29/1,085.45 = 492.45/x
  3. Step 3: Cross multiply
    787.29x = 1,085.45 × 492.45
  4. Step 4: Simplify right side
    787.29x = 534,529.85
  5. Step 5: Solve for x
    x = 534,529.85/787.29
  6. Step 6: Final answer
    x = 678.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.