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Finding the Fourth Proportional to 862.89, 1,294.05 and 429.75

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Solution

The fourth proportional to 862.89, 1,294.05 and 429.75 is: 644.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.89 : 1,294.05 = 429.75 : x
  2. Step 2: Convert to fraction form
    862.89/1,294.05 = 429.75/x
  3. Step 3: Cross multiply
    862.89x = 1,294.05 × 429.75
  4. Step 4: Simplify right side
    862.89x = 556,117.99
  5. Step 5: Solve for x
    x = 556,117.99/862.89
  6. Step 6: Final answer
    x = 644.48

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1.5x scale

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.