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Finding the Fourth Proportional to 787.74, 1,085.54 and 521.88

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Solution

The fourth proportional to 787.74, 1,085.54 and 521.88 is: 719.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.74 : 1,085.54 = 521.88 : x
  2. Step 2: Convert to fraction form
    787.74/1,085.54 = 521.88/x
  3. Step 3: Cross multiply
    787.74x = 1,085.54 × 521.88
  4. Step 4: Simplify right side
    787.74x = 566,519.01
  5. Step 5: Solve for x
    x = 566,519.01/787.74
  6. Step 6: Final answer
    x = 719.17

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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.