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Finding the Fourth Proportional to 1,124.13, 1,686.83 and 475.35

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Solution

The fourth proportional to 1,124.13, 1,686.83 and 475.35 is: 713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.13 : 1,686.83 = 475.35 : x
  2. Step 2: Convert to fraction form
    1,124.13/1,686.83 = 475.35/x
  3. Step 3: Cross multiply
    1,124.13x = 1,686.83 × 475.35
  4. Step 4: Simplify right side
    1,124.13x = 801,832.26
  5. Step 5: Solve for x
    x = 801,832.26/1,124.13
  6. Step 6: Final answer
    x = 713.29

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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.