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Finding the Fourth Proportional to 1,122.80, 1,684.08 and 429.76

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Solution

The fourth proportional to 1,122.80, 1,684.08 and 429.76 is: 644.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.80 : 1,684.08 = 429.76 : x
  2. Step 2: Convert to fraction form
    1,122.80/1,684.08 = 429.76/x
  3. Step 3: Cross multiply
    1,122.80x = 1,684.08 × 429.76
  4. Step 4: Simplify right side
    1,122.80x = 723,750.22
  5. Step 5: Solve for x
    x = 723,750.22/1,122.80
  6. Step 6: Final answer
    x = 644.59

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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.