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Finding the Fourth Proportional to 787.02, 1,179.64 and 324.37

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Solution

The fourth proportional to 787.02, 1,179.64 and 324.37 is: 486.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.02 : 1,179.64 = 324.37 : x
  2. Step 2: Convert to fraction form
    787.02/1,179.64 = 324.37/x
  3. Step 3: Cross multiply
    787.02x = 1,179.64 × 324.37
  4. Step 4: Simplify right side
    787.02x = 382,639.83
  5. Step 5: Solve for x
    x = 382,639.83/787.02
  6. Step 6: Final answer
    x = 486.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.