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Finding the Fourth Proportional to 787.08, 1,085.76 and 507.24

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Solution

The fourth proportional to 787.08, 1,085.76 and 507.24 is: 699.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.08 : 1,085.76 = 507.24 : x
  2. Step 2: Convert to fraction form
    787.08/1,085.76 = 507.24/x
  3. Step 3: Cross multiply
    787.08x = 1,085.76 × 507.24
  4. Step 4: Simplify right side
    787.08x = 550,740.90
  5. Step 5: Solve for x
    x = 550,740.90/787.08
  6. Step 6: Final answer
    x = 699.73

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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.