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Finding the Fourth Proportional to 1,423.84, 2,135.76 and 397.84

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Solution

The fourth proportional to 1,423.84, 2,135.76 and 397.84 is: 596.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.84 : 2,135.76 = 397.84 : x
  2. Step 2: Convert to fraction form
    1,423.84/2,135.76 = 397.84/x
  3. Step 3: Cross multiply
    1,423.84x = 2,135.76 × 397.84
  4. Step 4: Simplify right side
    1,423.84x = 849,690.76
  5. Step 5: Solve for x
    x = 849,690.76/1,423.84
  6. Step 6: Final answer
    x = 596.76

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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.