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Finding the Fourth Proportional to 1,416.89, 2,123.49 and 594.07

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Solution

The fourth proportional to 1,416.89, 2,123.49 and 594.07 is: 890.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.89 : 2,123.49 = 594.07 : x
  2. Step 2: Convert to fraction form
    1,416.89/2,123.49 = 594.07/x
  3. Step 3: Cross multiply
    1,416.89x = 2,123.49 × 594.07
  4. Step 4: Simplify right side
    1,416.89x = 1,261,501.70
  5. Step 5: Solve for x
    x = 1,261,501.70/1,416.89
  6. Step 6: Final answer
    x = 890.33

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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.