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Finding the Fourth Proportional to 787.58, 1,085.63 and 525.14

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Solution

The fourth proportional to 787.58, 1,085.63 and 525.14 is: 723.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.58 : 1,085.63 = 525.14 : x
  2. Step 2: Convert to fraction form
    787.58/1,085.63 = 525.14/x
  3. Step 3: Cross multiply
    787.58x = 1,085.63 × 525.14
  4. Step 4: Simplify right side
    787.58x = 570,099.68
  5. Step 5: Solve for x
    x = 570,099.68/787.58
  6. Step 6: Final answer
    x = 723.87

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Why These Related Problems?

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