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Finding the Fourth Proportional to 1,123.90, 1,686.78 and 475.08

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Solution

The fourth proportional to 1,123.90, 1,686.78 and 475.08 is: 713.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.90 : 1,686.78 = 475.08 : x
  2. Step 2: Convert to fraction form
    1,123.90/1,686.78 = 475.08/x
  3. Step 3: Cross multiply
    1,123.90x = 1,686.78 × 475.08
  4. Step 4: Simplify right side
    1,123.90x = 801,355.44
  5. Step 5: Solve for x
    x = 801,355.44/1,123.90
  6. Step 6: Final answer
    x = 713.01

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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.