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Finding the Fourth Proportional to 1,423.56, 2,135.65 and 557.88

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Solution

The fourth proportional to 1,423.56, 2,135.65 and 557.88 is: 836.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.56 : 2,135.65 = 557.88 : x
  2. Step 2: Convert to fraction form
    1,423.56/2,135.65 = 557.88/x
  3. Step 3: Cross multiply
    1,423.56x = 2,135.65 × 557.88
  4. Step 4: Simplify right side
    1,423.56x = 1,191,436.42
  5. Step 5: Solve for x
    x = 1,191,436.42/1,423.56
  6. Step 6: Final answer
    x = 836.94

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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.