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Finding the Fourth Proportional to 813.84, 1,220.40 and 429.36

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Solution

The fourth proportional to 813.84, 1,220.40 and 429.36 is: 643.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.84 : 1,220.40 = 429.36 : x
  2. Step 2: Convert to fraction form
    813.84/1,220.40 = 429.36/x
  3. Step 3: Cross multiply
    813.84x = 1,220.40 × 429.36
  4. Step 4: Simplify right side
    813.84x = 523,990.94
  5. Step 5: Solve for x
    x = 523,990.94/813.84
  6. Step 6: Final answer
    x = 643.85

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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.