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Finding the Fourth Proportional to 1,004.32, 1,504.59 and 787.24

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Solution

The fourth proportional to 1,004.32, 1,504.59 and 787.24 is: 1,179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.32 : 1,504.59 = 787.24 : x
  2. Step 2: Convert to fraction form
    1,004.32/1,504.59 = 787.24/x
  3. Step 3: Cross multiply
    1,004.32x = 1,504.59 × 787.24
  4. Step 4: Simplify right side
    1,004.32x = 1,184,473.43
  5. Step 5: Solve for x
    x = 1,184,473.43/1,004.32
  6. Step 6: Final answer
    x = 1,179.38

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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.