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Finding the Fourth Proportional to 1,122.14, 1,682.82 and 429.00

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Solution

The fourth proportional to 1,122.14, 1,682.82 and 429.00 is: 643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.14 : 1,682.82 = 429.00 : x
  2. Step 2: Convert to fraction form
    1,122.14/1,682.82 = 429.00/x
  3. Step 3: Cross multiply
    1,122.14x = 1,682.82 × 429.00
  4. Step 4: Simplify right side
    1,122.14x = 721,931.84
  5. Step 5: Solve for x
    x = 721,931.84/1,122.14
  6. Step 6: Final answer
    x = 643.35

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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.