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Finding the Fourth Proportional to 1,123.14, 1,684.65 and 429.75

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Solution

The fourth proportional to 1,123.14, 1,684.65 and 429.75 is: 644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.14 : 1,684.65 = 429.75 : x
  2. Step 2: Convert to fraction form
    1,123.14/1,684.65 = 429.75/x
  3. Step 3: Cross multiply
    1,123.14x = 1,684.65 × 429.75
  4. Step 4: Simplify right side
    1,123.14x = 723,976.32
  5. Step 5: Solve for x
    x = 723,976.32/1,123.14
  6. Step 6: Final answer
    x = 644.60

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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.