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Finding the Fourth Proportional to 1,123.19, 1,684.44 and 429.35

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Solution

The fourth proportional to 1,123.19, 1,684.44 and 429.35 is: 643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.19 : 1,684.44 = 429.35 : x
  2. Step 2: Convert to fraction form
    1,123.19/1,684.44 = 429.35/x
  3. Step 3: Cross multiply
    1,123.19x = 1,684.44 × 429.35
  4. Step 4: Simplify right side
    1,123.19x = 723,214.31
  5. Step 5: Solve for x
    x = 723,214.31/1,123.19
  6. Step 6: Final answer
    x = 643.89

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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.