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Finding the Fourth Proportional to 787.46, 1,085.66 and 654.80

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Solution

The fourth proportional to 787.46, 1,085.66 and 654.80 is: 902.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.46 : 1,085.66 = 654.80 : x
  2. Step 2: Convert to fraction form
    787.46/1,085.66 = 654.80/x
  3. Step 3: Cross multiply
    787.46x = 1,085.66 × 654.80
  4. Step 4: Simplify right side
    787.46x = 710,881.47
  5. Step 5: Solve for x
    x = 710,881.47/787.46
  6. Step 6: Final answer
    x = 902.75

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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.