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Finding the Fourth Proportional to 1,123.44, 1,684.15 and 429.63

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Solution

The fourth proportional to 1,123.44, 1,684.15 and 429.63 is: 644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.44 : 1,684.15 = 429.63 : x
  2. Step 2: Convert to fraction form
    1,123.44/1,684.15 = 429.63/x
  3. Step 3: Cross multiply
    1,123.44x = 1,684.15 × 429.63
  4. Step 4: Simplify right side
    1,123.44x = 723,561.36
  5. Step 5: Solve for x
    x = 723,561.36/1,123.44
  6. Step 6: Final answer
    x = 644.06

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Double scale
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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.