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Finding the Fourth Proportional to 1,124.94, 1,687.41 and 474.93

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Solution

The fourth proportional to 1,124.94, 1,687.41 and 474.93 is: 712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.94 : 1,687.41 = 474.93 : x
  2. Step 2: Convert to fraction form
    1,124.94/1,687.41 = 474.93/x
  3. Step 3: Cross multiply
    1,124.94x = 1,687.41 × 474.93
  4. Step 4: Simplify right side
    1,124.94x = 801,401.63
  5. Step 5: Solve for x
    x = 801,401.63/1,124.94
  6. Step 6: Final answer
    x = 712.40

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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.